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Finding the Fourth Proportional to 514,757.28, 772,124.97 and 140,780.28

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Solution

The fourth proportional to 514,757.28, 772,124.97 and 140,780.28 is: 211,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,757.28 : 772,124.97 = 140,780.28 : x
  2. Step 2: Convert to fraction form
    514,757.28/772,124.97 = 140,780.28/x
  3. Step 3: Cross multiply
    514,757.28x = 772,124.97 × 140,780.28
  4. Step 4: Simplify right side
    514,757.28x = 108,699,969,471.59
  5. Step 5: Solve for x
    x = 108,699,969,471.59/514,757.28
  6. Step 6: Final answer
    x = 211,167.43

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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.