I've never had that happen; but an easy solution is to decrease the final estimated payment on 15 January.
I estimate Fed and state taxes in late Mar, plan on four equal payments, and pay 1st quarter payment in mid April. I start each year with a good idea what my dividends, interest, TIRA distributions, Soc Sec and other incomes sources based on previous year. Then just before the Jun and Sept estimated tax due dates, I recalculate using actual dividends, interest, other income and trim adjust the 2nd and 3rd quarter payments if necessary - it's never significantly different unless I have significantly changed my plans, there's usually no reason to labor over these two payments.
Then in Dec when I know what all my dividends, interest, withdrawals, conversions, cap gains and other taxable income actually were, I then make the final 4th quarter estimated tax payment in mid Jan. If there's a larger $ change, it's always the 4th quarter payment, either up or down - same as Marc suggested.
The first three estimated tax payments don't have to be exactly right. You can make the necessary adjustments for the year with a more precise 4th quarter estimated tax payment - once all the inputs are known. My 4th quarter payment is usually the smallest because I err to the high side on the first three.
If you have trouble estimating what your taxes will be, use a 1040 calculator like
1040 Tax Calculator to get exact numbers.
I pay all our taxes from taxable accounts to preserve what's in our tax deferred and tax free accounts.