Finding the Fourth Proportional to 415,083,693.09, 572,816,650.96 and 226,914,260.74
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Solution
The fourth proportional to 415,083,693.09, 572,816,650.96 and 226,914,260.74 is: 313,142,310.95
Step by Step Solution
- Step 1: Write the proportion equation
415,083,693.09 : 572,816,650.96 = 226,914,260.74 : x - Step 2: Convert to fraction form
415,083,693.09/572,816,650.96 = 226,914,260.74/x - Step 3: Cross multiply
415,083,693.09x = 572,816,650.96 × 226,914,260.74 - Step 4: Simplify right side
415,083,693.09x = 129,980,266,891,583,728 - Step 5: Solve for x
x = 129,980,266,891,583,728/415,083,693.09 - Step 6: Final answer
x = 313,142,310.95
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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.