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Finding the Fourth Proportional to 275,934.59, 380,821.31 and 153,439.20

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Solution

The fourth proportional to 275,934.59, 380,821.31 and 153,439.20 is: 211,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,934.59 : 380,821.31 = 153,439.20 : x
  2. Step 2: Convert to fraction form
    275,934.59/380,821.31 = 153,439.20/x
  3. Step 3: Cross multiply
    275,934.59x = 380,821.31 × 153,439.20
  4. Step 4: Simplify right side
    275,934.59x = 58,432,914,478.05
  5. Step 5: Solve for x
    x = 58,432,914,478.05/275,934.59
  6. Step 6: Final answer
    x = 211,763.65

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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.