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Finding the Fourth Proportional to 312,502.89, 468,754.56 and 75,845.79

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Solution

The fourth proportional to 312,502.89, 468,754.56 and 75,845.79 is: 113,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,502.89 : 468,754.56 = 75,845.79 : x
  2. Step 2: Convert to fraction form
    312,502.89/468,754.56 = 75,845.79/x
  3. Step 3: Cross multiply
    312,502.89x = 468,754.56 × 75,845.79
  4. Step 4: Simplify right side
    312,502.89x = 35,553,059,919.30
  5. Step 5: Solve for x
    x = 35,553,059,919.30/312,502.89
  6. Step 6: Final answer
    x = 113,768.74

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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.