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Finding the Fourth Proportional to 299,791.50, 449,676.50 and 75,153.78

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Solution

The fourth proportional to 299,791.50, 449,676.50 and 75,153.78 is: 112,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,791.50 : 449,676.50 = 75,153.78 : x
  2. Step 2: Convert to fraction form
    299,791.50/449,676.50 = 75,153.78/x
  3. Step 3: Cross multiply
    299,791.50x = 449,676.50 × 75,153.78
  4. Step 4: Simplify right side
    299,791.50x = 33,794,888,752.17
  5. Step 5: Solve for x
    x = 33,794,888,752.17/299,791.50
  6. Step 6: Final answer
    x = 112,727.98

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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.