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Finding the Fourth Proportional to 277,231.78, 382,579.59 and 149,907.07

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Solution

The fourth proportional to 277,231.78, 382,579.59 and 149,907.07 is: 206,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,231.78 : 382,579.59 = 149,907.07 : x
  2. Step 2: Convert to fraction form
    277,231.78/382,579.59 = 149,907.07/x
  3. Step 3: Cross multiply
    277,231.78x = 382,579.59 × 149,907.07
  4. Step 4: Simplify right side
    277,231.78x = 57,351,384,422.25
  5. Step 5: Solve for x
    x = 57,351,384,422.25/277,231.78
  6. Step 6: Final answer
    x = 206,871.61

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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.