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Finding the Fourth Proportional to 809,810, 1,215,451.68 and 431,049.16

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Solution

The fourth proportional to 809,810, 1,215,451.68 and 431,049.16 is: 646,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,810 : 1,215,451.68 = 431,049.16 : x
  2. Step 2: Convert to fraction form
    809,810/1,215,451.68 = 431,049.16/x
  3. Step 3: Cross multiply
    809,810x = 1,215,451.68 × 431,049.16
  4. Step 4: Simplify right side
    809,810x = 523,919,425,684.59
  5. Step 5: Solve for x
    x = 523,919,425,684.59/809,810
  6. Step 6: Final answer
    x = 646,965.86

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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.