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Finding the Fourth Proportional to 392,300.64, 541,414.75 and 231,207.59

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Solution

The fourth proportional to 392,300.64, 541,414.75 and 231,207.59 is: 319,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,300.64 : 541,414.75 = 231,207.59 : x
  2. Step 2: Convert to fraction form
    392,300.64/541,414.75 = 231,207.59/x
  3. Step 3: Cross multiply
    392,300.64x = 541,414.75 × 231,207.59
  4. Step 4: Simplify right side
    392,300.64x = 125,179,198,248.86
  5. Step 5: Solve for x
    x = 125,179,198,248.86/392,300.64
  6. Step 6: Final answer
    x = 319,089.96

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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.