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Finding the Fourth Proportional to 299,862.76, 449,793.96 and 78,246.76

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Solution

The fourth proportional to 299,862.76, 449,793.96 and 78,246.76 is: 117,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,862.76 : 449,793.96 = 78,246.76 : x
  2. Step 2: Convert to fraction form
    299,862.76/449,793.96 = 78,246.76/x
  3. Step 3: Cross multiply
    299,862.76x = 449,793.96 × 78,246.76
  4. Step 4: Simplify right side
    299,862.76x = 35,194,920,037.57
  5. Step 5: Solve for x
    x = 35,194,920,037.57/299,862.76
  6. Step 6: Final answer
    x = 117,370.09

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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.