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Finding the Fourth Proportional to 312,520.44, 468,743.46 and 81,694.20

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Solution

The fourth proportional to 312,520.44, 468,743.46 and 81,694.20 is: 122,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,520.44 : 468,743.46 = 81,694.20 : x
  2. Step 2: Convert to fraction form
    312,520.44/468,743.46 = 81,694.20/x
  3. Step 3: Cross multiply
    312,520.44x = 468,743.46 × 81,694.20
  4. Step 4: Simplify right side
    312,520.44x = 38,293,621,969.93
  5. Step 5: Solve for x
    x = 38,293,621,969.93/312,520.44
  6. Step 6: Final answer
    x = 122,531.58

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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.