Finding the Fourth Proportional to 284,478.12, 392,565.30 and 157,129.08
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Solution
The fourth proportional to 284,478.12, 392,565.30 and 157,129.08 is: 216,830.12
Step by Step Solution
- Step 1: Write the proportion equation
284,478.12 : 392,565.30 = 157,129.08 : x - Step 2: Convert to fraction form
284,478.12/392,565.30 = 157,129.08/x - Step 3: Cross multiply
284,478.12x = 392,565.30 × 157,129.08 - Step 4: Simplify right side
284,478.12x = 61,683,424,428.92 - Step 5: Solve for x
x = 61,683,424,428.92/284,478.12 - Step 6: Final answer
x = 216,830.12
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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.