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Finding the Fourth Proportional to 276,546.40, 381,628.56 and 161,892.64

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Solution

The fourth proportional to 276,546.40, 381,628.56 and 161,892.64 is: 223,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,546.40 : 381,628.56 = 161,892.64 : x
  2. Step 2: Convert to fraction form
    276,546.40/381,628.56 = 161,892.64/x
  3. Step 3: Cross multiply
    276,546.40x = 381,628.56 × 161,892.64
  4. Step 4: Simplify right side
    276,546.40x = 61,782,855,077.80
  5. Step 5: Solve for x
    x = 61,782,855,077.80/276,546.40
  6. Step 6: Final answer
    x = 223,408.64

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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.