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Finding the Fourth Proportional to 276,821.62, 382,013.84 and 149,497.22

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Solution

The fourth proportional to 276,821.62, 382,013.84 and 149,497.22 is: 206,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,821.62 : 382,013.84 = 149,497.22 : x
  2. Step 2: Convert to fraction form
    276,821.62/382,013.84 = 149,497.22/x
  3. Step 3: Cross multiply
    276,821.62x = 382,013.84 × 149,497.22
  4. Step 4: Simplify right side
    276,821.62x = 57,110,007,081.52
  5. Step 5: Solve for x
    x = 57,110,007,081.52/276,821.62
  6. Step 6: Final answer
    x = 206,306.17

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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.