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Finding the Fourth Proportional to 299,854.47, 449,906.04 and 131,287.80

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Solution

The fourth proportional to 299,854.47, 449,906.04 and 131,287.80 is: 196,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,854.47 : 449,906.04 = 131,287.80 : x
  2. Step 2: Convert to fraction form
    299,854.47/449,906.04 = 131,287.80/x
  3. Step 3: Cross multiply
    299,854.47x = 449,906.04 × 131,287.80
  4. Step 4: Simplify right side
    299,854.47x = 59,067,174,198.31
  5. Step 5: Solve for x
    x = 59,067,174,198.31/299,854.47
  6. Step 6: Final answer
    x = 196,986.14

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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.