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Finding the Fourth Proportional to 299,489.30, 449,124.60 and 99,816.20

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Solution

The fourth proportional to 299,489.30, 449,124.60 and 99,816.20 is: 149,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,489.30 : 449,124.60 = 99,816.20 : x
  2. Step 2: Convert to fraction form
    299,489.30/449,124.60 = 99,816.20/x
  3. Step 3: Cross multiply
    299,489.30x = 449,124.60 × 99,816.20
  4. Step 4: Simplify right side
    299,489.30x = 44,829,910,898.52
  5. Step 5: Solve for x
    x = 44,829,910,898.52/299,489.30
  6. Step 6: Final answer
    x = 149,687.85

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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.