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Finding the Fourth Proportional to 311,396.68, 467,023.33 and 121,861.54

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Solution

The fourth proportional to 311,396.68, 467,023.33 and 121,861.54 is: 182,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,396.68 : 467,023.33 = 121,861.54 : x
  2. Step 2: Convert to fraction form
    311,396.68/467,023.33 = 121,861.54/x
  3. Step 3: Cross multiply
    311,396.68x = 467,023.33 × 121,861.54
  4. Step 4: Simplify right side
    311,396.68x = 56,912,179,265.30
  5. Step 5: Solve for x
    x = 56,912,179,265.30/311,396.68
  6. Step 6: Final answer
    x = 182,764.25

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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.