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Finding the Fourth Proportional to 262,806.50, 394,217.04 and 75,818

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Solution

The fourth proportional to 262,806.50, 394,217.04 and 75,818 is: 113,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,806.50 : 394,217.04 = 75,818 : x
  2. Step 2: Convert to fraction form
    262,806.50/394,217.04 = 75,818/x
  3. Step 3: Cross multiply
    262,806.50x = 394,217.04 × 75,818
  4. Step 4: Simplify right side
    262,806.50x = 29,888,747,538.72
  5. Step 5: Solve for x
    x = 29,888,747,538.72/262,806.50
  6. Step 6: Final answer
    x = 113,729.10

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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.