Finding the Fourth Proportional to 284,713.92, 392,903.28 and 157,394.88
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Solution
The fourth proportional to 284,713.92, 392,903.28 and 157,394.88 is: 217,203.87
Step by Step Solution
- Step 1: Write the proportion equation
284,713.92 : 392,903.28 = 157,394.88 : x - Step 2: Convert to fraction form
284,713.92/392,903.28 = 157,394.88/x - Step 3: Cross multiply
284,713.92x = 392,903.28 × 157,394.88 - Step 4: Simplify right side
284,713.92x = 61,840,964,607.21 - Step 5: Solve for x
x = 61,840,964,607.21/284,713.92 - Step 6: Final answer
x = 217,203.87
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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.