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Finding the Fourth Proportional to 431,846.10, 647,712.45 and 132,356.70

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Solution

The fourth proportional to 431,846.10, 647,712.45 and 132,356.70 is: 198,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,846.10 : 647,712.45 = 132,356.70 : x
  2. Step 2: Convert to fraction form
    431,846.10/647,712.45 = 132,356.70/x
  3. Step 3: Cross multiply
    431,846.10x = 647,712.45 × 132,356.70
  4. Step 4: Simplify right side
    431,846.10x = 85,729,082,430.92
  5. Step 5: Solve for x
    x = 85,729,082,430.92/431,846.10
  6. Step 6: Final answer
    x = 198,517.67

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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.