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Finding the Fourth Proportional to 457,332.60, 685,998.90 and 431,671.80

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Solution

The fourth proportional to 457,332.60, 685,998.90 and 431,671.80 is: 647,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,332.60 : 685,998.90 = 431,671.80 : x
  2. Step 2: Convert to fraction form
    457,332.60/685,998.90 = 431,671.80/x
  3. Step 3: Cross multiply
    457,332.60x = 685,998.90 × 431,671.80
  4. Step 4: Simplify right side
    457,332.60x = 296,126,379,961.02
  5. Step 5: Solve for x
    x = 296,126,379,961.02/457,332.60
  6. Step 6: Final answer
    x = 647,507.70

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Similar ratio
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1.5x scale

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.