Working one column, which is enough to see the pattern in all four.
Total the income actually received from January 1 to the period's end date, less adjustments to income, using the taxpayer's own method of accounting.
Annualize it by the column's multiplier: 4, 2.4, 1.5 or 1.
Subtract deductions. Annualized itemized deductions, or the full standard deduction, whichever is larger.
Figure the tax on the result, then add annualized self-employment tax from Part II and any other taxes for the period.
Apply the column's percentage: 22.5%, 45%, 67.5% or 90%.
Apply the running cap. Subtract what earlier columns have already claimed, then take the smaller of that figure and the regular installment increased by the amount earlier columns left unused.
A hypothetical example, using the second column. Marisol's regular required annual payment for the year is $18,000, so the ordinary installment is 25 percent of that, or $4,500 per period. Her consulting income is back-loaded.
Through March 31 she has received $12,000. Annualized at the first column's multiplier of 4, that is $48,000. Assume, purely to make the arithmetic visible, that the total tax figured on that annualized amount comes to $10,000; the figure is stipulated for the illustration rather than derived from any rate table. The first column's applicable percentage is 22.5 percent, so $10,000 times 0.225 is $2,250. That is smaller than the $4,500 ceiling, so her first required installment is $2,250 rather than $4,500.
Through May 31 she has received $60,000. The second column's multiplier is 2.4, so the annualized figure is $144,000, and assume the tax on it comes to $40,000. The second column's percentage is 45 percent, giving $40,000 times 0.45, or $18,000. From that she subtracts the $2,250 already claimed in the first column, leaving $15,750.
Now the ceiling. The regular quarterly amount is $4,500, and the first column left $4,500 minus $2,250, or $2,250, unused. The ceiling for the second column is therefore $4,500 plus $2,250, or $6,750. She takes the smaller of $15,750 and $6,750, so her second required installment is $6,750.
Two periods in, she has been required to pay $2,250 plus $6,750, or $9,000, which is exactly what two flat installments of $4,500 would have required by the same date. The method changed when the money was due, not how much.