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Finding the Fourth Proportional to 299,420.80, 449,138.40 and 89,065.60

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Solution

The fourth proportional to 299,420.80, 449,138.40 and 89,065.60 is: 133,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420.80 : 449,138.40 = 89,065.60 : x
  2. Step 2: Convert to fraction form
    299,420.80/449,138.40 = 89,065.60/x
  3. Step 3: Cross multiply
    299,420.80x = 449,138.40 × 89,065.60
  4. Step 4: Simplify right side
    299,420.80x = 40,002,781,079.04
  5. Step 5: Solve for x
    x = 40,002,781,079.04/299,420.80
  6. Step 6: Final answer
    x = 133,600.54

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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.