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Finding the Fourth Proportional to 299,878.20, 449,840.52 and 100,199.28

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Solution

The fourth proportional to 299,878.20, 449,840.52 and 100,199.28 is: 150,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,878.20 : 449,840.52 = 100,199.28 : x
  2. Step 2: Convert to fraction form
    299,878.20/449,840.52 = 100,199.28/x
  3. Step 3: Cross multiply
    299,878.20x = 449,840.52 × 100,199.28
  4. Step 4: Simplify right side
    299,878.20x = 45,073,695,375.37
  5. Step 5: Solve for x
    x = 45,073,695,375.37/299,878.20
  6. Step 6: Final answer
    x = 150,306.68

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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.