Finding the Fourth Proportional to 284,634.14, 392,779.76 and 157,302.14
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Solution
The fourth proportional to 284,634.14, 392,779.76 and 157,302.14 is: 217,068.46
Step by Step Solution
- Step 1: Write the proportion equation
284,634.14 : 392,779.76 = 157,302.14 : x - Step 2: Convert to fraction form
284,634.14/392,779.76 = 157,302.14/x - Step 3: Cross multiply
284,634.14x = 392,779.76 × 157,302.14 - Step 4: Simplify right side
284,634.14x = 61,785,094,046.28 - Step 5: Solve for x
x = 61,785,094,046.28/284,634.14 - Step 6: Final answer
x = 217,068.46
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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.