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Finding the Fourth Proportional to 409,635.12, 614,731.32 and 251,380.56

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Solution

The fourth proportional to 409,635.12, 614,731.32 and 251,380.56 is: 377,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,635.12 : 614,731.32 = 251,380.56 : x
  2. Step 2: Convert to fraction form
    409,635.12/614,731.32 = 251,380.56/x
  3. Step 3: Cross multiply
    409,635.12x = 614,731.32 × 251,380.56
  4. Step 4: Simplify right side
    409,635.12x = 154,531,503,471.14
  5. Step 5: Solve for x
    x = 154,531,503,471.14/409,635.12
  6. Step 6: Final answer
    x = 377,241.83

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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.