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Finding the Fourth Proportional to 260,823.72, 391,256.46 and 83,355.96

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Solution

The fourth proportional to 260,823.72, 391,256.46 and 83,355.96 is: 125,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,823.72 : 391,256.46 = 83,355.96 : x
  2. Step 2: Convert to fraction form
    260,823.72/391,256.46 = 83,355.96/x
  3. Step 3: Cross multiply
    260,823.72x = 391,256.46 × 83,355.96
  4. Step 4: Simplify right side
    260,823.72x = 32,613,557,829.50
  5. Step 5: Solve for x
    x = 32,613,557,829.50/260,823.72
  6. Step 6: Final answer
    x = 125,040.61

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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.