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Finding the Fourth Proportional to 431,451.20, 647,371.20 and 206,724.80

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Solution

The fourth proportional to 431,451.20, 647,371.20 and 206,724.80 is: 310,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,451.20 : 647,371.20 = 206,724.80 : x
  2. Step 2: Convert to fraction form
    431,451.20/647,371.20 = 206,724.80/x
  3. Step 3: Cross multiply
    431,451.20x = 647,371.20 × 206,724.80
  4. Step 4: Simplify right side
    431,451.20x = 133,827,681,845.76
  5. Step 5: Solve for x
    x = 133,827,681,845.76/431,451.20
  6. Step 6: Final answer
    x = 310,180.34

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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.