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Finding the Fourth Proportional to 260,823.22, 391,255.71 and 83,355.46

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Solution

The fourth proportional to 260,823.22, 391,255.71 and 83,355.46 is: 125,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,823.22 : 391,255.71 = 83,355.46 : x
  2. Step 2: Convert to fraction form
    260,823.22/391,255.71 = 83,355.46/x
  3. Step 3: Cross multiply
    260,823.22x = 391,255.71 × 83,355.46
  4. Step 4: Simplify right side
    260,823.22x = 32,613,299,684.68
  5. Step 5: Solve for x
    x = 32,613,299,684.68/260,823.22
  6. Step 6: Final answer
    x = 125,039.86

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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.