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Finding the Fourth Proportional to 431,999.70, 647,999.55 and 392,601.30

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Solution

The fourth proportional to 431,999.70, 647,999.55 and 392,601.30 is: 588,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,999.70 : 647,999.55 = 392,601.30 : x
  2. Step 2: Convert to fraction form
    431,999.70/647,999.55 = 392,601.30/x
  3. Step 3: Cross multiply
    431,999.70x = 647,999.55 × 392,601.30
  4. Step 4: Simplify right side
    431,999.70x = 254,405,465,729.42
  5. Step 5: Solve for x
    x = 254,405,465,729.42/431,999.70
  6. Step 6: Final answer
    x = 588,901.95

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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.