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Finding the Fourth Proportional to 311,234.56, 466,812.96 and 86,611.84

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Solution

The fourth proportional to 311,234.56, 466,812.96 and 86,611.84 is: 129,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,234.56 : 466,812.96 = 86,611.84 : x
  2. Step 2: Convert to fraction form
    311,234.56/466,812.96 = 86,611.84/x
  3. Step 3: Cross multiply
    311,234.56x = 466,812.96 × 86,611.84
  4. Step 4: Simplify right side
    311,234.56x = 40,431,529,401.45
  5. Step 5: Solve for x
    x = 40,431,529,401.45/311,234.56
  6. Step 6: Final answer
    x = 129,906.94

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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.