Finding the Fourth Proportional to 284,757.12, 392,932.80 and 157,415.04
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Solution
The fourth proportional to 284,757.12, 392,932.80 and 157,415.04 is: 217,215.05
Step by Step Solution
- Step 1: Write the proportion equation
284,757.12 : 392,932.80 = 157,415.04 : x - Step 2: Convert to fraction form
284,757.12/392,932.80 = 157,415.04/x - Step 3: Cross multiply
284,757.12x = 392,932.80 × 157,415.04 - Step 4: Simplify right side
284,757.12x = 61,853,532,429.31 - Step 5: Solve for x
x = 61,853,532,429.31/284,757.12 - Step 6: Final answer
x = 217,215.05
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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.