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Finding the Fourth Proportional to 457,311.60, 685,967.40 and 431,650.80

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Solution

The fourth proportional to 457,311.60, 685,967.40 and 431,650.80 is: 647,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,311.60 : 685,967.40 = 431,650.80 : x
  2. Step 2: Convert to fraction form
    457,311.60/685,967.40 = 431,650.80/x
  3. Step 3: Cross multiply
    457,311.60x = 685,967.40 × 431,650.80
  4. Step 4: Simplify right side
    457,311.60x = 296,098,376,983.92
  5. Step 5: Solve for x
    x = 296,098,376,983.92/457,311.60
  6. Step 6: Final answer
    x = 647,476.20

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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.