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Finding the Fourth Proportional to 312,396.87, 468,596.85 and 75,739.55

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Solution

The fourth proportional to 312,396.87, 468,596.85 and 75,739.55 is: 113,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,396.87 : 468,596.85 = 75,739.55 : x
  2. Step 2: Convert to fraction form
    312,396.87/468,596.85 = 75,739.55/x
  3. Step 3: Cross multiply
    312,396.87x = 468,596.85 × 75,739.55
  4. Step 4: Simplify right side
    312,396.87x = 35,491,314,171.72
  5. Step 5: Solve for x
    x = 35,491,314,171.72/312,396.87
  6. Step 6: Final answer
    x = 113,609.70

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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.