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Finding the Fourth Proportional to 543,646.20, 815,469.30 and 431,671.80

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Solution

The fourth proportional to 543,646.20, 815,469.30 and 431,671.80 is: 647,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,646.20 : 815,469.30 = 431,671.80 : x
  2. Step 2: Convert to fraction form
    543,646.20/815,469.30 = 431,671.80/x
  3. Step 3: Cross multiply
    543,646.20x = 815,469.30 × 431,671.80
  4. Step 4: Simplify right side
    543,646.20x = 352,015,100,575.74
  5. Step 5: Solve for x
    x = 352,015,100,575.74/543,646.20
  6. Step 6: Final answer
    x = 647,507.70

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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.