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Finding the Fourth Proportional to 275,581.52, 380,273.12 and 154,736

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Solution

The fourth proportional to 275,581.52, 380,273.12 and 154,736 is: 213,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,581.52 : 380,273.12 = 154,736 : x
  2. Step 2: Convert to fraction form
    275,581.52/380,273.12 = 154,736/x
  3. Step 3: Cross multiply
    275,581.52x = 380,273.12 × 154,736
  4. Step 4: Simplify right side
    275,581.52x = 58,841,941,496.32
  5. Step 5: Solve for x
    x = 58,841,941,496.32/275,581.52
  6. Step 6: Final answer
    x = 213,519.18

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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.