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Finding the Fourth Proportional to 431,589.20, 647,578.20 and 206,862.80

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Solution

The fourth proportional to 431,589.20, 647,578.20 and 206,862.80 is: 310,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,589.20 : 647,578.20 = 206,862.80 : x
  2. Step 2: Convert to fraction form
    431,589.20/647,578.20 = 206,862.80/x
  3. Step 3: Cross multiply
    431,589.20x = 647,578.20 × 206,862.80
  4. Step 4: Simplify right side
    431,589.20x = 133,959,839,670.96
  5. Step 5: Solve for x
    x = 133,959,839,670.96/431,589.20
  6. Step 6: Final answer
    x = 310,387.38

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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.