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Finding the Fourth Proportional to 276,709.20, 381,859.44 and 161,967

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Solution

The fourth proportional to 276,709.20, 381,859.44 and 161,967 is: 223,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,709.20 : 381,859.44 = 161,967 : x
  2. Step 2: Convert to fraction form
    276,709.20/381,859.44 = 161,967/x
  3. Step 3: Cross multiply
    276,709.20x = 381,859.44 × 161,967
  4. Step 4: Simplify right side
    276,709.20x = 61,848,627,918.48
  5. Step 5: Solve for x
    x = 61,848,627,918.48/276,709.20
  6. Step 6: Final answer
    x = 223,514.90

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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.