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Finding the Fourth Proportional to 274,843.81, 412,324.85 and 85,300.57

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Solution

The fourth proportional to 274,843.81, 412,324.85 and 85,300.57 is: 127,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,843.81 : 412,324.85 = 85,300.57 : x
  2. Step 2: Convert to fraction form
    274,843.81/412,324.85 = 85,300.57/x
  3. Step 3: Cross multiply
    274,843.81x = 412,324.85 × 85,300.57
  4. Step 4: Simplify right side
    274,843.81x = 35,171,544,730.16
  5. Step 5: Solve for x
    x = 35,171,544,730.16/274,843.81
  6. Step 6: Final answer
    x = 127,969.21

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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.