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Finding the Fourth Proportional to 392,505.47, 541,728.24 and 231,351.11

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Solution

The fourth proportional to 392,505.47, 541,728.24 and 231,351.11 is: 319,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,505.47 : 541,728.24 = 231,351.11 : x
  2. Step 2: Convert to fraction form
    392,505.47/541,728.24 = 231,351.11/x
  3. Step 3: Cross multiply
    392,505.47x = 541,728.24 × 231,351.11
  4. Step 4: Simplify right side
    392,505.47x = 125,329,429,642.35
  5. Step 5: Solve for x
    x = 125,329,429,642.35/392,505.47
  6. Step 6: Final answer
    x = 319,306.20

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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.