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Finding the Fourth Proportional to 269,859, 404,808.12 and 103,647

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Solution

The fourth proportional to 269,859, 404,808.12 and 103,647 is: 155,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,859 : 404,808.12 = 103,647 : x
  2. Step 2: Convert to fraction form
    269,859/404,808.12 = 103,647/x
  3. Step 3: Cross multiply
    269,859x = 404,808.12 × 103,647
  4. Step 4: Simplify right side
    269,859x = 41,957,147,213.64
  5. Step 5: Solve for x
    x = 41,957,147,213.64/269,859
  6. Step 6: Final answer
    x = 155,478.04

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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.