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Finding the Fourth Proportional to 260,795.85, 391,193.77 and 142,402.60

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Solution

The fourth proportional to 260,795.85, 391,193.77 and 142,402.60 is: 213,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,795.85 : 391,193.77 = 142,402.60 : x
  2. Step 2: Convert to fraction form
    260,795.85/391,193.77 = 142,402.60/x
  3. Step 3: Cross multiply
    260,795.85x = 391,193.77 × 142,402.60
  4. Step 4: Simplify right side
    260,795.85x = 55,707,010,351.79
  5. Step 5: Solve for x
    x = 55,707,010,351.79/260,795.85
  6. Step 6: Final answer
    x = 213,603.90

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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.