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Finding the Fourth Proportional to 311,169.75, 466,561.31 and 131,162.57

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Solution

The fourth proportional to 311,169.75, 466,561.31 and 131,162.57 is: 196,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,169.75 : 466,561.31 = 131,162.57 : x
  2. Step 2: Convert to fraction form
    311,169.75/466,561.31 = 131,162.57/x
  3. Step 3: Cross multiply
    311,169.75x = 466,561.31 × 131,162.57
  4. Step 4: Simplify right side
    311,169.75x = 61,195,377,493.55
  5. Step 5: Solve for x
    x = 61,195,377,493.55/311,169.75
  6. Step 6: Final answer
    x = 196,662.36

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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.