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Finding the Fourth Proportional to 259,863.21, 389,843.42 and 82,322.55

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Solution

The fourth proportional to 259,863.21, 389,843.42 and 82,322.55 is: 123,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,863.21 : 389,843.42 = 82,322.55 : x
  2. Step 2: Convert to fraction form
    259,863.21/389,843.42 = 82,322.55/x
  3. Step 3: Cross multiply
    259,863.21x = 389,843.42 × 82,322.55
  4. Step 4: Simplify right side
    259,863.21x = 32,092,904,023.51
  5. Step 5: Solve for x
    x = 32,092,904,023.51/259,863.21
  6. Step 6: Final answer
    x = 123,499.22

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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.