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Finding the Fourth Proportional to 381,602.78, 571,730.57 and 231,538.34

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Solution

The fourth proportional to 381,602.78, 571,730.57 and 231,538.34 is: 346,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,602.78 : 571,730.57 = 231,538.34 : x
  2. Step 2: Convert to fraction form
    381,602.78/571,730.57 = 231,538.34/x
  3. Step 3: Cross multiply
    381,602.78x = 571,730.57 × 231,538.34
  4. Step 4: Simplify right side
    381,602.78x = 132,377,543,088.71
  5. Step 5: Solve for x
    x = 132,377,543,088.71/381,602.78
  6. Step 6: Final answer
    x = 346,898.80

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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.