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Finding the Fourth Proportional to 299,120.85, 448,584.22 and 99,387.60

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Solution

The fourth proportional to 299,120.85, 448,584.22 and 99,387.60 is: 149,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,120.85 : 448,584.22 = 99,387.60 : x
  2. Step 2: Convert to fraction form
    299,120.85/448,584.22 = 99,387.60/x
  3. Step 3: Cross multiply
    299,120.85x = 448,584.22 × 99,387.60
  4. Step 4: Simplify right side
    299,120.85x = 44,583,708,526.73
  5. Step 5: Solve for x
    x = 44,583,708,526.73/299,120.85
  6. Step 6: Final answer
    x = 149,049.15

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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.