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Finding the Fourth Proportional to 260,920.38, 391,491.99 and 111,231.17

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Solution

The fourth proportional to 260,920.38, 391,491.99 and 111,231.17 is: 166,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,920.38 : 391,491.99 = 111,231.17 : x
  2. Step 2: Convert to fraction form
    260,920.38/391,491.99 = 111,231.17/x
  3. Step 3: Cross multiply
    260,920.38x = 391,491.99 × 111,231.17
  4. Step 4: Simplify right side
    260,920.38x = 43,546,110,135.87
  5. Step 5: Solve for x
    x = 43,546,110,135.87/260,920.38
  6. Step 6: Final answer
    x = 166,894.25

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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.