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Finding the Fourth Proportional to 312,672.75, 468,894.24 and 107,449.20

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Solution

The fourth proportional to 312,672.75, 468,894.24 and 107,449.20 is: 161,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,672.75 : 468,894.24 = 107,449.20 : x
  2. Step 2: Convert to fraction form
    312,672.75/468,894.24 = 107,449.20/x
  3. Step 3: Cross multiply
    312,672.75x = 468,894.24 × 107,449.20
  4. Step 4: Simplify right side
    312,672.75x = 50,382,310,972.61
  5. Step 5: Solve for x
    x = 50,382,310,972.61/312,672.75
  6. Step 6: Final answer
    x = 161,134.32

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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.