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Finding the Fourth Proportional to 312,399.89, 468,502.95 and 112,694.33

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Solution

The fourth proportional to 312,399.89, 468,502.95 and 112,694.33 is: 169,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,399.89 : 468,502.95 = 112,694.33 : x
  2. Step 2: Convert to fraction form
    312,399.89/468,502.95 = 112,694.33/x
  3. Step 3: Cross multiply
    312,399.89x = 468,502.95 × 112,694.33
  4. Step 4: Simplify right side
    312,399.89x = 52,797,627,224.53
  5. Step 5: Solve for x
    x = 52,797,627,224.53/312,399.89
  6. Step 6: Final answer
    x = 169,006.55

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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.