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Finding the Fourth Proportional to 272,356.36, 408,537.34 and 82,847.56

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Solution

The fourth proportional to 272,356.36, 408,537.34 and 82,847.56 is: 124,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,356.36 : 408,537.34 = 82,847.56 : x
  2. Step 2: Convert to fraction form
    272,356.36/408,537.34 = 82,847.56/x
  3. Step 3: Cross multiply
    272,356.36x = 408,537.34 × 82,847.56
  4. Step 4: Simplify right side
    272,356.36x = 33,846,321,787.89
  5. Step 5: Solve for x
    x = 33,846,321,787.89/272,356.36
  6. Step 6: Final answer
    x = 124,272.19

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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.