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Finding the Fourth Proportional to 311,791.87, 467,542.41 and 161,991.89

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Solution

The fourth proportional to 311,791.87, 467,542.41 and 161,991.89 is: 242,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,791.87 : 467,542.41 = 161,991.89 : x
  2. Step 2: Convert to fraction form
    311,791.87/467,542.41 = 161,991.89/x
  3. Step 3: Cross multiply
    311,791.87x = 467,542.41 × 161,991.89
  4. Step 4: Simplify right side
    311,791.87x = 75,738,078,651.05
  5. Step 5: Solve for x
    x = 75,738,078,651.05/311,791.87
  6. Step 6: Final answer
    x = 242,912.29

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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.