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Finding the Fourth Proportional to 431,691.20, 647,536.80 and 419,403.20

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Solution

The fourth proportional to 431,691.20, 647,536.80 and 419,403.20 is: 629,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,691.20 : 647,536.80 = 419,403.20 : x
  2. Step 2: Convert to fraction form
    431,691.20/647,536.80 = 419,403.20/x
  3. Step 3: Cross multiply
    431,691.20x = 647,536.80 × 419,403.20
  4. Step 4: Simplify right side
    431,691.20x = 271,579,006,037.76
  5. Step 5: Solve for x
    x = 271,579,006,037.76/431,691.20
  6. Step 6: Final answer
    x = 629,104.80

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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.