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Finding the Fourth Proportional to 260,793.60, 391,190.40 and 142,400.36

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Solution

The fourth proportional to 260,793.60, 391,190.40 and 142,400.36 is: 213,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,793.60 : 391,190.40 = 142,400.36 : x
  2. Step 2: Convert to fraction form
    260,793.60/391,190.40 = 142,400.36/x
  3. Step 3: Cross multiply
    260,793.60x = 391,190.40 × 142,400.36
  4. Step 4: Simplify right side
    260,793.60x = 55,705,651,832.59
  5. Step 5: Solve for x
    x = 55,705,651,832.59/260,793.60
  6. Step 6: Final answer
    x = 213,600.53

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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.