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Finding the Fourth Proportional to 431,400.52, 647,118.06 and 209,732.68

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Solution

The fourth proportional to 431,400.52, 647,118.06 and 209,732.68 is: 314,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,400.52 : 647,118.06 = 209,732.68 : x
  2. Step 2: Convert to fraction form
    431,400.52/647,118.06 = 209,732.68/x
  3. Step 3: Cross multiply
    431,400.52x = 647,118.06 × 209,732.68
  4. Step 4: Simplify right side
    431,400.52x = 135,721,805,000.20
  5. Step 5: Solve for x
    x = 135,721,805,000.20/431,400.52
  6. Step 6: Final answer
    x = 314,607.42

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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.