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Finding the Fourth Proportional to 299,667, 413,540.46 and 165,531

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Solution

The fourth proportional to 299,667, 413,540.46 and 165,531 is: 228,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,667 : 413,540.46 = 165,531 : x
  2. Step 2: Convert to fraction form
    299,667/413,540.46 = 165,531/x
  3. Step 3: Cross multiply
    299,667x = 413,540.46 × 165,531
  4. Step 4: Simplify right side
    299,667x = 68,453,765,884.26
  5. Step 5: Solve for x
    x = 68,453,765,884.26/299,667
  6. Step 6: Final answer
    x = 228,432.78

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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.