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Finding the Fourth Proportional to 260,800.36, 391,200.53 and 142,407.11

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Solution

The fourth proportional to 260,800.36, 391,200.53 and 142,407.11 is: 213,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,800.36 : 391,200.53 = 142,407.11 : x
  2. Step 2: Convert to fraction form
    260,800.36/391,200.53 = 142,407.11/x
  3. Step 3: Cross multiply
    260,800.36x = 391,200.53 × 142,407.11
  4. Step 4: Simplify right side
    260,800.36x = 55,709,737,173.73
  5. Step 5: Solve for x
    x = 55,709,737,173.73/260,800.36
  6. Step 6: Final answer
    x = 213,610.66

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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.