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Finding the Fourth Proportional to 276,512.64, 381,383.72 and 208,532.48

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Solution

The fourth proportional to 276,512.64, 381,383.72 and 208,532.48 is: 287,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,512.64 : 381,383.72 = 208,532.48 : x
  2. Step 2: Convert to fraction form
    276,512.64/381,383.72 = 208,532.48/x
  3. Step 3: Cross multiply
    276,512.64x = 381,383.72 × 208,532.48
  4. Step 4: Simplify right side
    276,512.64x = 79,530,890,013.64
  5. Step 5: Solve for x
    x = 79,530,890,013.64/276,512.64
  6. Step 6: Final answer
    x = 287,621.17

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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.