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Finding the Fourth Proportional to 431,493.87, 647,240.24 and 115,950.80

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Solution

The fourth proportional to 431,493.87, 647,240.24 and 115,950.80 is: 173,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,493.87 : 647,240.24 = 115,950.80 : x
  2. Step 2: Convert to fraction form
    431,493.87/647,240.24 = 115,950.80/x
  3. Step 3: Cross multiply
    431,493.87x = 647,240.24 × 115,950.80
  4. Step 4: Simplify right side
    431,493.87x = 75,048,019,804.24
  5. Step 5: Solve for x
    x = 75,048,019,804.24/431,493.87
  6. Step 6: Final answer
    x = 173,926.04

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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.