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Finding the Fourth Proportional to 381,013.40, 571,862.73 and 203,672

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Solution

The fourth proportional to 381,013.40, 571,862.73 and 203,672 is: 305,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,013.40 : 571,862.73 = 203,672 : x
  2. Step 2: Convert to fraction form
    381,013.40/571,862.73 = 203,672/x
  3. Step 3: Cross multiply
    381,013.40x = 571,862.73 × 203,672
  4. Step 4: Simplify right side
    381,013.40x = 116,472,425,944.56
  5. Step 5: Solve for x
    x = 116,472,425,944.56/381,013.40
  6. Step 6: Final answer
    x = 305,691.15

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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.