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Finding the Fourth Proportional to 431,602.60, 647,498.73 and 132,106.27

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Solution

The fourth proportional to 431,602.60, 647,498.73 and 132,106.27 is: 198,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,602.60 : 647,498.73 = 132,106.27 : x
  2. Step 2: Convert to fraction form
    431,602.60/647,498.73 = 132,106.27/x
  3. Step 3: Cross multiply
    431,602.60x = 647,498.73 × 132,106.27
  4. Step 4: Simplify right side
    431,602.60x = 85,538,642,050.04
  5. Step 5: Solve for x
    x = 85,538,642,050.04/431,602.60
  6. Step 6: Final answer
    x = 198,188.43

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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.