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Finding the Fourth Proportional to 431,665.60, 647,191.20 and 165,323.20

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Solution

The fourth proportional to 431,665.60, 647,191.20 and 165,323.20 is: 247,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,665.60 : 647,191.20 = 165,323.20 : x
  2. Step 2: Convert to fraction form
    431,665.60/647,191.20 = 165,323.20/x
  3. Step 3: Cross multiply
    431,665.60x = 647,191.20 × 165,323.20
  4. Step 4: Simplify right side
    431,665.60x = 106,995,720,195.84
  5. Step 5: Solve for x
    x = 106,995,720,195.84/431,665.60
  6. Step 6: Final answer
    x = 247,867.15

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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.