Finding the Fourth Proportional to 284,708.28, 392,882.09 and 157,376.28
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Solution
The fourth proportional to 284,708.28, 392,882.09 and 157,376.28 is: 217,170.79
Step by Step Solution
- Step 1: Write the proportion equation
284,708.28 : 392,882.09 = 157,376.28 : x - Step 2: Convert to fraction form
284,708.28/392,882.09 = 157,376.28/x - Step 3: Cross multiply
284,708.28x = 392,882.09 × 157,376.28 - Step 4: Simplify right side
284,708.28x = 61,830,321,015.94 - Step 5: Solve for x
x = 61,830,321,015.94/284,708.28 - Step 6: Final answer
x = 217,170.79
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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.