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Finding the Fourth Proportional to 299,712.20, 449,741.10 and 112,857.80

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Solution

The fourth proportional to 299,712.20, 449,741.10 and 112,857.80 is: 169,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712.20 : 449,741.10 = 112,857.80 : x
  2. Step 2: Convert to fraction form
    299,712.20/449,741.10 = 112,857.80/x
  3. Step 3: Cross multiply
    299,712.20x = 449,741.10 × 112,857.80
  4. Step 4: Simplify right side
    299,712.20x = 50,756,791,115.58
  5. Step 5: Solve for x
    x = 50,756,791,115.58/299,712.20
  6. Step 6: Final answer
    x = 169,351.77

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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.