SUMIF with Horizontal sum range

Greetings,

I'm trying to use the sumif function in excel 2010 to find a row in a worksheet then only sum certain columns in the row. Below is sample date and the formula I'm currently using.

Example data:
Column: A B C D....
Row 1: Account#, period 1, period 2, period 3....
Row 2: 105320410, 10, 20, 30...

=SUMIF(A1:D2,105230410,C1:D2)

The result is only the first cell in the range, or 20, instead of the desired result of 50.

Thanks in advance for your help.