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Finding the Fourth Proportional to 274,576.22, 378,960.54 and 188,464.46

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Solution

The fourth proportional to 274,576.22, 378,960.54 and 188,464.46 is: 260,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,576.22 : 378,960.54 = 188,464.46 : x
  2. Step 2: Convert to fraction form
    274,576.22/378,960.54 = 188,464.46/x
  3. Step 3: Cross multiply
    274,576.22x = 378,960.54 × 188,464.46
  4. Step 4: Simplify right side
    274,576.22x = 71,420,593,532.41
  5. Step 5: Solve for x
    x = 71,420,593,532.41/274,576.22
  6. Step 6: Final answer
    x = 260,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.