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Finding the Fourth Proportional to 277,288.29, 382,658.09 and 149,963.88

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Solution

The fourth proportional to 277,288.29, 382,658.09 and 149,963.88 is: 206,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,288.29 : 382,658.09 = 149,963.88 : x
  2. Step 2: Convert to fraction form
    277,288.29/382,658.09 = 149,963.88/x
  3. Step 3: Cross multiply
    277,288.29x = 382,658.09 × 149,963.88
  4. Step 4: Simplify right side
    277,288.29x = 57,384,892,131.37
  5. Step 5: Solve for x
    x = 57,384,892,131.37/277,288.29
  6. Step 6: Final answer
    x = 206,950.29

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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.