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Finding the Fourth Proportional to 311,790.87, 467,540.91 and 161,990.89

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Solution

The fourth proportional to 311,790.87, 467,540.91 and 161,990.89 is: 242,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,790.87 : 467,540.91 = 161,990.89 : x
  2. Step 2: Convert to fraction form
    311,790.87/467,540.91 = 161,990.89/x
  3. Step 3: Cross multiply
    311,790.87x = 467,540.91 × 161,990.89
  4. Step 4: Simplify right side
    311,790.87x = 75,737,366,953.46
  5. Step 5: Solve for x
    x = 75,737,366,953.46/311,790.87
  6. Step 6: Final answer
    x = 242,910.79

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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.