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Finding the Fourth Proportional to 431,690.70, 647,584.65 and 132,168.90

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Solution

The fourth proportional to 431,690.70, 647,584.65 and 132,168.90 is: 198,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,690.70 : 647,584.65 = 132,168.90 : x
  2. Step 2: Convert to fraction form
    431,690.70/647,584.65 = 132,168.90/x
  3. Step 3: Cross multiply
    431,690.70x = 647,584.65 × 132,168.90
  4. Step 4: Simplify right side
    431,690.70x = 85,590,550,847.39
  5. Step 5: Solve for x
    x = 85,590,550,847.39/431,690.70
  6. Step 6: Final answer
    x = 198,268.23

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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.