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Finding the Fourth Proportional to 312,364.38, 468,542.37 and 75,709.11

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Solution

The fourth proportional to 312,364.38, 468,542.37 and 75,709.11 is: 113,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,364.38 : 468,542.37 = 75,709.11 : x
  2. Step 2: Convert to fraction form
    312,364.38/468,542.37 = 75,709.11/x
  3. Step 3: Cross multiply
    312,364.38x = 468,542.37 × 75,709.11
  4. Step 4: Simplify right side
    312,364.38x = 35,472,925,829.99
  5. Step 5: Solve for x
    x = 35,472,925,829.99/312,364.38
  6. Step 6: Final answer
    x = 113,562.65

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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.