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Finding the Fourth Proportional to 276,242.28, 381,243.84 and 161,556

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Solution

The fourth proportional to 276,242.28, 381,243.84 and 161,556 is: 222,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,242.28 : 381,243.84 = 161,556 : x
  2. Step 2: Convert to fraction form
    276,242.28/381,243.84 = 161,556/x
  3. Step 3: Cross multiply
    276,242.28x = 381,243.84 × 161,556
  4. Step 4: Simplify right side
    276,242.28x = 61,592,229,815.04
  5. Step 5: Solve for x
    x = 61,592,229,815.04/276,242.28
  6. Step 6: Final answer
    x = 222,964.53

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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.