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Finding the Fourth Proportional to 431,509.40, 647,361.30 and 132,003.80

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Solution

The fourth proportional to 431,509.40, 647,361.30 and 132,003.80 is: 198,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,509.40 : 647,361.30 = 132,003.80 : x
  2. Step 2: Convert to fraction form
    431,509.40/647,361.30 = 132,003.80/x
  3. Step 3: Cross multiply
    431,509.40x = 647,361.30 × 132,003.80
  4. Step 4: Simplify right side
    431,509.40x = 85,454,151,572.94
  5. Step 5: Solve for x
    x = 85,454,151,572.94/431,509.40
  6. Step 6: Final answer
    x = 198,035.43

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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.