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Finding the Fourth Proportional to 260,780.96, 391,171.43 and 142,387.71

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Solution

The fourth proportional to 260,780.96, 391,171.43 and 142,387.71 is: 213,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,780.96 : 391,171.43 = 142,387.71 : x
  2. Step 2: Convert to fraction form
    260,780.96/391,171.43 = 142,387.71/x
  3. Step 3: Cross multiply
    260,780.96x = 391,171.43 × 142,387.71
  4. Step 4: Simplify right side
    260,780.96x = 55,698,004,135.13
  5. Step 5: Solve for x
    x = 55,698,004,135.13/260,780.96
  6. Step 6: Final answer
    x = 213,581.56

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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.