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Finding the Fourth Proportional to 431,564.20, 647,540.70 and 206,837.80

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Solution

The fourth proportional to 431,564.20, 647,540.70 and 206,837.80 is: 310,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,564.20 : 647,540.70 = 206,837.80 : x
  2. Step 2: Convert to fraction form
    431,564.20/647,540.70 = 206,837.80/x
  3. Step 3: Cross multiply
    431,564.20x = 647,540.70 × 206,837.80
  4. Step 4: Simplify right side
    431,564.20x = 133,935,893,798.46
  5. Step 5: Solve for x
    x = 133,935,893,798.46/431,564.20
  6. Step 6: Final answer
    x = 310,349.87

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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.