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Finding the Fourth Proportional to 431,744.80, 647,617.20 and 136,218.40

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Solution

The fourth proportional to 431,744.80, 647,617.20 and 136,218.40 is: 204,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,744.80 : 647,617.20 = 136,218.40 : x
  2. Step 2: Convert to fraction form
    431,744.80/647,617.20 = 136,218.40/x
  3. Step 3: Cross multiply
    431,744.80x = 647,617.20 × 136,218.40
  4. Step 4: Simplify right side
    431,744.80x = 88,217,378,796.48
  5. Step 5: Solve for x
    x = 88,217,378,796.48/431,744.80
  6. Step 6: Final answer
    x = 204,327.60

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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.