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Finding the Fourth Proportional to 276,178.16, 413,979.96 and 187,438.88

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Solution

The fourth proportional to 276,178.16, 413,979.96 and 187,438.88 is: 280,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,178.16 : 413,979.96 = 187,438.88 : x
  2. Step 2: Convert to fraction form
    276,178.16/413,979.96 = 187,438.88/x
  3. Step 3: Cross multiply
    276,178.16x = 413,979.96 × 187,438.88
  4. Step 4: Simplify right side
    276,178.16x = 77,595,940,044.84
  5. Step 5: Solve for x
    x = 77,595,940,044.84/276,178.16
  6. Step 6: Final answer
    x = 280,963.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.