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Finding the Fourth Proportional to 393,781.87, 590,658.95 and 123,902.58

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Solution

The fourth proportional to 393,781.87, 590,658.95 and 123,902.58 is: 185,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,781.87 : 590,658.95 = 123,902.58 : x
  2. Step 2: Convert to fraction form
    393,781.87/590,658.95 = 123,902.58/x
  3. Step 3: Cross multiply
    393,781.87x = 590,658.95 × 123,902.58
  4. Step 4: Simplify right side
    393,781.87x = 73,184,167,805.09
  5. Step 5: Solve for x
    x = 73,184,167,805.09/393,781.87
  6. Step 6: Final answer
    x = 185,849.51

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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.