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Finding the Fourth Proportional to 431,626.40, 647,415.72 and 132,106.76

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Solution

The fourth proportional to 431,626.40, 647,415.72 and 132,106.76 is: 198,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,626.40 : 647,415.72 = 132,106.76 : x
  2. Step 2: Convert to fraction form
    431,626.40/647,415.72 = 132,106.76/x
  3. Step 3: Cross multiply
    431,626.40x = 647,415.72 × 132,106.76
  4. Step 4: Simplify right side
    431,626.40x = 85,527,993,142.27
  5. Step 5: Solve for x
    x = 85,527,993,142.27/431,626.40
  6. Step 6: Final answer
    x = 198,152.83

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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.