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Finding the Fourth Proportional to 656,993.31, 984,211.78 and 431,669.13

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Solution

The fourth proportional to 656,993.31, 984,211.78 and 431,669.13 is: 646,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,993.31 : 984,211.78 = 431,669.13 : x
  2. Step 2: Convert to fraction form
    656,993.31/984,211.78 = 431,669.13/x
  3. Step 3: Cross multiply
    656,993.31x = 984,211.78 × 431,669.13
  4. Step 4: Simplify right side
    656,993.31x = 424,853,842,808.35
  5. Step 5: Solve for x
    x = 424,853,842,808.35/656,993.31
  6. Step 6: Final answer
    x = 646,663.88

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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.