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Finding the Fourth Proportional to 381,502.49, 572,253.78 and 144,845.30

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Solution

The fourth proportional to 381,502.49, 572,253.78 and 144,845.30 is: 217,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,502.49 : 572,253.78 = 144,845.30 : x
  2. Step 2: Convert to fraction form
    381,502.49/572,253.78 = 144,845.30/x
  3. Step 3: Cross multiply
    381,502.49x = 572,253.78 × 144,845.30
  4. Step 4: Simplify right side
    381,502.49x = 82,888,267,578.97
  5. Step 5: Solve for x
    x = 82,888,267,578.97/381,502.49
  6. Step 6: Final answer
    x = 217,267.96

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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.