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Finding the Fourth Proportional to 269,821.50, 404,751.87 and 103,609.50

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Solution

The fourth proportional to 269,821.50, 404,751.87 and 103,609.50 is: 155,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,821.50 : 404,751.87 = 103,609.50 : x
  2. Step 2: Convert to fraction form
    269,821.50/404,751.87 = 103,609.50/x
  3. Step 3: Cross multiply
    269,821.50x = 404,751.87 × 103,609.50
  4. Step 4: Simplify right side
    269,821.50x = 41,936,138,874.77
  5. Step 5: Solve for x
    x = 41,936,138,874.77/269,821.50
  6. Step 6: Final answer
    x = 155,421.78

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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.