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Finding the Fourth Proportional to 392,580.72, 588,871.28 and 126,341.20

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Solution

The fourth proportional to 392,580.72, 588,871.28 and 126,341.20 is: 189,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,580.72 : 588,871.28 = 126,341.20 : x
  2. Step 2: Convert to fraction form
    392,580.72/588,871.28 = 126,341.20/x
  3. Step 3: Cross multiply
    392,580.72x = 588,871.28 × 126,341.20
  4. Step 4: Simplify right side
    392,580.72x = 74,398,704,160.74
  5. Step 5: Solve for x
    x = 74,398,704,160.74/392,580.72
  6. Step 6: Final answer
    x = 189,511.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.