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Finding the Fourth Proportional to 392,412.78, 541,633.19 and 231,375.11

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Solution

The fourth proportional to 392,412.78, 541,633.19 and 231,375.11 is: 319,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,412.78 : 541,633.19 = 231,375.11 : x
  2. Step 2: Convert to fraction form
    392,412.78/541,633.19 = 231,375.11/x
  3. Step 3: Cross multiply
    392,412.78x = 541,633.19 × 231,375.11
  4. Step 4: Simplify right side
    392,412.78x = 125,320,435,050.86
  5. Step 5: Solve for x
    x = 125,320,435,050.86/392,412.78
  6. Step 6: Final answer
    x = 319,358.70

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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.