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Finding the Fourth Proportional to 299,731.80, 449,819.48 and 141,960.64

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Solution

The fourth proportional to 299,731.80, 449,819.48 and 141,960.64 is: 213,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,731.80 : 449,819.48 = 141,960.64 : x
  2. Step 2: Convert to fraction form
    299,731.80/449,819.48 = 141,960.64/x
  3. Step 3: Cross multiply
    299,731.80x = 449,819.48 × 141,960.64
  4. Step 4: Simplify right side
    299,731.80x = 63,856,661,265.27
  5. Step 5: Solve for x
    x = 63,856,661,265.27/299,731.80
  6. Step 6: Final answer
    x = 213,046.00

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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.