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Finding the Fourth Proportional to 284,708.48, 392,882.29 and 157,375.88

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Solution

The fourth proportional to 284,708.48, 392,882.29 and 157,375.88 is: 217,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,708.48 : 392,882.29 = 157,375.88 : x
  2. Step 2: Convert to fraction form
    284,708.48/392,882.29 = 157,375.88/x
  3. Step 3: Cross multiply
    284,708.48x = 392,882.29 × 157,375.88
  4. Step 4: Simplify right side
    284,708.48x = 61,830,193,767.31
  5. Step 5: Solve for x
    x = 61,830,193,767.31/284,708.48
  6. Step 6: Final answer
    x = 217,170.18

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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.