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Finding the Fourth Proportional to 664,950.92, 998,902.62 and 412,418.04

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Solution

The fourth proportional to 664,950.92, 998,902.62 and 412,418.04 is: 619,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,950.92 : 998,902.62 = 412,418.04 : x
  2. Step 2: Convert to fraction form
    664,950.92/998,902.62 = 412,418.04/x
  3. Step 3: Cross multiply
    664,950.92x = 998,902.62 × 412,418.04
  4. Step 4: Simplify right side
    664,950.92x = 411,965,460,691.27
  5. Step 5: Solve for x
    x = 411,965,460,691.27/664,950.92
  6. Step 6: Final answer
    x = 619,542.66

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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.