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Finding the Fourth Proportional to 274,321.28, 411,108.31 and 154,435.41

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Solution

The fourth proportional to 274,321.28, 411,108.31 and 154,435.41 is: 231,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,321.28 : 411,108.31 = 154,435.41 : x
  2. Step 2: Convert to fraction form
    274,321.28/411,108.31 = 154,435.41/x
  3. Step 3: Cross multiply
    274,321.28x = 411,108.31 × 154,435.41
  4. Step 4: Simplify right side
    274,321.28x = 63,489,680,409.26
  5. Step 5: Solve for x
    x = 63,489,680,409.26/274,321.28
  6. Step 6: Final answer
    x = 231,442.78

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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.