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Finding the Fourth Proportional to 299,691.60, 413,823.24 and 199,544.40

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Solution

The fourth proportional to 299,691.60, 413,823.24 and 199,544.40 is: 275,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,691.60 : 413,823.24 = 199,544.40 : x
  2. Step 2: Convert to fraction form
    299,691.60/413,823.24 = 199,544.40/x
  3. Step 3: Cross multiply
    299,691.60x = 413,823.24 × 199,544.40
  4. Step 4: Simplify right side
    299,691.60x = 82,576,110,131.86
  5. Step 5: Solve for x
    x = 82,576,110,131.86/299,691.60
  6. Step 6: Final answer
    x = 275,536.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.