Finding the Fourth Proportional to 416,815.16, 575,201.30 and 225,828.09
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Solution
The fourth proportional to 416,815.16, 575,201.30 and 225,828.09 is: 311,640.80
Step by Step Solution
- Step 1: Write the proportion equation
416,815.16 : 575,201.30 = 225,828.09 : x - Step 2: Convert to fraction form
416,815.16/575,201.30 = 225,828.09/x - Step 3: Cross multiply
416,815.16x = 575,201.30 × 225,828.09 - Step 4: Simplify right side
416,815.16x = 129,896,609,815.38 - Step 5: Solve for x
x = 129,896,609,815.38/416,815.16 - Step 6: Final answer
x = 311,640.80
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.