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Finding the Fourth Proportional to 431,384.10, 647,019.45 and 131,894.70

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Solution

The fourth proportional to 431,384.10, 647,019.45 and 131,894.70 is: 197,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,384.10 : 647,019.45 = 131,894.70 : x
  2. Step 2: Convert to fraction form
    431,384.10/647,019.45 = 131,894.70/x
  3. Step 3: Cross multiply
    431,384.10x = 647,019.45 × 131,894.70
  4. Step 4: Simplify right side
    431,384.10x = 85,338,436,251.92
  5. Step 5: Solve for x
    x = 85,338,436,251.92/431,384.10
  6. Step 6: Final answer
    x = 197,824.71

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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.