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Finding the Fourth Proportional to 260,198, 359,073.84 and 145,480.73

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Solution

The fourth proportional to 260,198, 359,073.84 and 145,480.73 is: 200,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,198 : 359,073.84 = 145,480.73 : x
  2. Step 2: Convert to fraction form
    260,198/359,073.84 = 145,480.73/x
  3. Step 3: Cross multiply
    260,198x = 359,073.84 × 145,480.73
  4. Step 4: Simplify right side
    260,198x = 52,238,324,367.10
  5. Step 5: Solve for x
    x = 52,238,324,367.10/260,198
  6. Step 6: Final answer
    x = 200,763.74

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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.