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Finding the Fourth Proportional to 259,797.75, 389,707.97 and 82,317.84

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Solution

The fourth proportional to 259,797.75, 389,707.97 and 82,317.84 is: 123,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,797.75 : 389,707.97 = 82,317.84 : x
  2. Step 2: Convert to fraction form
    259,797.75/389,707.97 = 82,317.84/x
  3. Step 3: Cross multiply
    259,797.75x = 389,707.97 × 82,317.84
  4. Step 4: Simplify right side
    259,797.75x = 32,079,917,909.60
  5. Step 5: Solve for x
    x = 32,079,917,909.60/259,797.75
  6. Step 6: Final answer
    x = 123,480.35

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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.