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Finding the Fourth Proportional to 299,843.20, 449,246.40 and 141,731.20

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Solution

The fourth proportional to 299,843.20, 449,246.40 and 141,731.20 is: 212,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,843.20 : 449,246.40 = 141,731.20 : x
  2. Step 2: Convert to fraction form
    299,843.20/449,246.40 = 141,731.20/x
  3. Step 3: Cross multiply
    299,843.20x = 449,246.40 × 141,731.20
  4. Step 4: Simplify right side
    299,843.20x = 63,672,231,367.68
  5. Step 5: Solve for x
    x = 63,672,231,367.68/299,843.20
  6. Step 6: Final answer
    x = 212,351.76

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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.