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Finding the Fourth Proportional to 381,257.97, 571,487.90 and 128,451.11

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Solution

The fourth proportional to 381,257.97, 571,487.90 and 128,451.11 is: 192,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,257.97 : 571,487.90 = 128,451.11 : x
  2. Step 2: Convert to fraction form
    381,257.97/571,487.90 = 128,451.11/x
  3. Step 3: Cross multiply
    381,257.97x = 571,487.90 × 128,451.11
  4. Step 4: Simplify right side
    381,257.97x = 73,408,251,606.87
  5. Step 5: Solve for x
    x = 73,408,251,606.87/381,257.97
  6. Step 6: Final answer
    x = 192,542.21

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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.