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Finding the Fourth Proportional to 653,691.87, 902,133.32 and 492,262.11

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Solution

The fourth proportional to 653,691.87, 902,133.32 and 492,262.11 is: 679,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,691.87 : 902,133.32 = 492,262.11 : x
  2. Step 2: Convert to fraction form
    653,691.87/902,133.32 = 492,262.11/x
  3. Step 3: Cross multiply
    653,691.87x = 902,133.32 × 492,262.11
  4. Step 4: Simplify right side
    653,691.87x = 444,086,049,143.20
  5. Step 5: Solve for x
    x = 444,086,049,143.20/653,691.87
  6. Step 6: Final answer
    x = 679,350.73

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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.