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Finding the Fourth Proportional to 299,524.64, 449,285.68 and 77,908

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Solution

The fourth proportional to 299,524.64, 449,285.68 and 77,908 is: 116,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,524.64 : 449,285.68 = 77,908 : x
  2. Step 2: Convert to fraction form
    299,524.64/449,285.68 = 77,908/x
  3. Step 3: Cross multiply
    299,524.64x = 449,285.68 × 77,908
  4. Step 4: Simplify right side
    299,524.64x = 35,002,948,757.44
  5. Step 5: Solve for x
    x = 35,002,948,757.44/299,524.64
  6. Step 6: Final answer
    x = 116,861.67

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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.