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Finding the Fourth Proportional to 381,726.92, 572,653.25 and 129,022.71

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Solution

The fourth proportional to 381,726.92, 572,653.25 and 129,022.71 is: 193,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,726.92 : 572,653.25 = 129,022.71 : x
  2. Step 2: Convert to fraction form
    381,726.92/572,653.25 = 129,022.71/x
  3. Step 3: Cross multiply
    381,726.92x = 572,653.25 × 129,022.71
  4. Step 4: Simplify right side
    381,726.92x = 73,885,273,560.19
  5. Step 5: Solve for x
    x = 73,885,273,560.19/381,726.92
  6. Step 6: Final answer
    x = 193,555.32

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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.