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Finding the Fourth Proportional to 299,780.70, 449,619.21 and 112,793.82

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Solution

The fourth proportional to 299,780.70, 449,619.21 and 112,793.82 is: 169,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780.70 : 449,619.21 = 112,793.82 : x
  2. Step 2: Convert to fraction form
    299,780.70/449,619.21 = 112,793.82/x
  3. Step 3: Cross multiply
    299,780.70x = 449,619.21 × 112,793.82
  4. Step 4: Simplify right side
    299,780.70x = 50,714,268,241.28
  5. Step 5: Solve for x
    x = 50,714,268,241.28/299,780.70
  6. Step 6: Final answer
    x = 169,171.22

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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.