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Finding the Fourth Proportional to 312,408.28, 468,613.92 and 75,750.94

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Solution

The fourth proportional to 312,408.28, 468,613.92 and 75,750.94 is: 113,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,408.28 : 468,613.92 = 75,750.94 : x
  2. Step 2: Convert to fraction form
    312,408.28/468,613.92 = 75,750.94/x
  3. Step 3: Cross multiply
    312,408.28x = 468,613.92 × 75,750.94
  4. Step 4: Simplify right side
    312,408.28x = 35,497,944,937.08
  5. Step 5: Solve for x
    x = 35,497,944,937.08/312,408.28
  6. Step 6: Final answer
    x = 113,626.77

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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.