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Finding the Fourth Proportional to 260,821.59, 391,377.72 and 140,876.13

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Solution

The fourth proportional to 260,821.59, 391,377.72 and 140,876.13 is: 211,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,821.59 : 391,377.72 = 140,876.13 : x
  2. Step 2: Convert to fraction form
    260,821.59/391,377.72 = 140,876.13/x
  3. Step 3: Cross multiply
    260,821.59x = 391,377.72 × 140,876.13
  4. Step 4: Simplify right side
    260,821.59x = 55,135,778,561.82
  5. Step 5: Solve for x
    x = 55,135,778,561.82/260,821.59
  6. Step 6: Final answer
    x = 211,392.69

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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.