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Finding the Fourth Proportional to 260,786.70, 391,180.05 and 197,801.10

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Solution

The fourth proportional to 260,786.70, 391,180.05 and 197,801.10 is: 296,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,786.70 : 391,180.05 = 197,801.10 : x
  2. Step 2: Convert to fraction form
    260,786.70/391,180.05 = 197,801.10/x
  3. Step 3: Cross multiply
    260,786.70x = 391,180.05 × 197,801.10
  4. Step 4: Simplify right side
    260,786.70x = 77,375,844,188.06
  5. Step 5: Solve for x
    x = 77,375,844,188.06/260,786.70
  6. Step 6: Final answer
    x = 296,701.65

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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.