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Finding the Fourth Proportional to 431,399.52, 647,116.56 and 209,731.68

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Solution

The fourth proportional to 431,399.52, 647,116.56 and 209,731.68 is: 314,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,399.52 : 647,116.56 = 209,731.68 : x
  2. Step 2: Convert to fraction form
    431,399.52/647,116.56 = 209,731.68/x
  3. Step 3: Cross multiply
    431,399.52x = 647,116.56 × 209,731.68
  4. Step 4: Simplify right side
    431,399.52x = 135,720,843,284.62
  5. Step 5: Solve for x
    x = 135,720,843,284.62/431,399.52
  6. Step 6: Final answer
    x = 314,605.92

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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.