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Finding the Fourth Proportional to 381,952, 527,142.36 and 231,050.08

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Solution

The fourth proportional to 381,952, 527,142.36 and 231,050.08 is: 318,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,952 : 527,142.36 = 231,050.08 : x
  2. Step 2: Convert to fraction form
    381,952/527,142.36 = 231,050.08/x
  3. Step 3: Cross multiply
    381,952x = 527,142.36 × 231,050.08
  4. Step 4: Simplify right side
    381,952x = 121,796,284,449.39
  5. Step 5: Solve for x
    x = 121,796,284,449.39/381,952
  6. Step 6: Final answer
    x = 318,878.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.