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Finding the Fourth Proportional to 431,666.20, 647,685.60 and 231,752.94

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Solution

The fourth proportional to 431,666.20, 647,685.60 and 231,752.94 is: 347,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,666.20 : 647,685.60 = 231,752.94 : x
  2. Step 2: Convert to fraction form
    431,666.20/647,685.60 = 231,752.94/x
  3. Step 3: Cross multiply
    431,666.20x = 647,685.60 × 231,752.94
  4. Step 4: Simplify right side
    431,666.20x = 150,103,041,995.66
  5. Step 5: Solve for x
    x = 150,103,041,995.66/431,666.20
  6. Step 6: Final answer
    x = 347,729.43

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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.