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Finding the Fourth Proportional to 457,306.60, 685,959.90 and 431,645.80

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Solution

The fourth proportional to 457,306.60, 685,959.90 and 431,645.80 is: 647,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,306.60 : 685,959.90 = 431,645.80 : x
  2. Step 2: Convert to fraction form
    457,306.60/685,959.90 = 431,645.80/x
  3. Step 3: Cross multiply
    457,306.60x = 685,959.90 × 431,645.80
  4. Step 4: Simplify right side
    457,306.60x = 296,091,709,803.42
  5. Step 5: Solve for x
    x = 296,091,709,803.42/457,306.60
  6. Step 6: Final answer
    x = 647,468.70

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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.