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Finding the Fourth Proportional to 431,645.60, 647,411.70 and 132,156.20

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Solution

The fourth proportional to 431,645.60, 647,411.70 and 132,156.20 is: 198,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,645.60 : 647,411.70 = 132,156.20 : x
  2. Step 2: Convert to fraction form
    431,645.60/647,411.70 = 132,156.20/x
  3. Step 3: Cross multiply
    431,645.60x = 647,411.70 × 132,156.20
  4. Step 4: Simplify right side
    431,645.60x = 85,559,470,107.54
  5. Step 5: Solve for x
    x = 85,559,470,107.54/431,645.60
  6. Step 6: Final answer
    x = 198,216.94

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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.