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Finding the Fourth Proportional to 260,700.31, 391,198.41 and 140,755.67

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Solution

The fourth proportional to 260,700.31, 391,198.41 and 140,755.67 is: 211,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,700.31 : 391,198.41 = 140,755.67 : x
  2. Step 2: Convert to fraction form
    260,700.31/391,198.41 = 140,755.67/x
  3. Step 3: Cross multiply
    260,700.31x = 391,198.41 × 140,755.67
  4. Step 4: Simplify right side
    260,700.31x = 55,063,392,346.49
  5. Step 5: Solve for x
    x = 55,063,392,346.49/260,700.31
  6. Step 6: Final answer
    x = 211,213.38

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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.