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Finding the Fourth Proportional to 225,640.28, 338,469.78 and 186,123.80

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Solution

The fourth proportional to 225,640.28, 338,469.78 and 186,123.80 is: 279,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,640.28 : 338,469.78 = 186,123.80 : x
  2. Step 2: Convert to fraction form
    225,640.28/338,469.78 = 186,123.80/x
  3. Step 3: Cross multiply
    225,640.28x = 338,469.78 × 186,123.80
  4. Step 4: Simplify right side
    225,640.28x = 62,997,281,638.76
  5. Step 5: Solve for x
    x = 62,997,281,638.76/225,640.28
  6. Step 6: Final answer
    x = 279,193.42

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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.