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Finding the Fourth Proportional to 325,634.44, 449,375.49 and 198,310

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Solution

The fourth proportional to 325,634.44, 449,375.49 and 198,310 is: 273,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,634.44 : 449,375.49 = 198,310 : x
  2. Step 2: Convert to fraction form
    325,634.44/449,375.49 = 198,310/x
  3. Step 3: Cross multiply
    325,634.44x = 449,375.49 × 198,310
  4. Step 4: Simplify right side
    325,634.44x = 89,115,653,421.90
  5. Step 5: Solve for x
    x = 89,115,653,421.90/325,634.44
  6. Step 6: Final answer
    x = 273,667.78

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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.