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Finding the Fourth Proportional to 381,013.90, 571,863.48 and 203,672.50

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Solution

The fourth proportional to 381,013.90, 571,863.48 and 203,672.50 is: 305,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,013.90 : 571,863.48 = 203,672.50 : x
  2. Step 2: Convert to fraction form
    381,013.90/571,863.48 = 203,672.50/x
  3. Step 3: Cross multiply
    381,013.90x = 571,863.48 × 203,672.50
  4. Step 4: Simplify right side
    381,013.90x = 116,472,864,630.30
  5. Step 5: Solve for x
    x = 116,472,864,630.30/381,013.90
  6. Step 6: Final answer
    x = 305,691.90

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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.