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Finding the Fourth Proportional to 269,829, 404,763.12 and 103,617

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Solution

The fourth proportional to 269,829, 404,763.12 and 103,617 is: 155,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,829 : 404,763.12 = 103,617 : x
  2. Step 2: Convert to fraction form
    269,829/404,763.12 = 103,617/x
  3. Step 3: Cross multiply
    269,829x = 404,763.12 × 103,617
  4. Step 4: Simplify right side
    269,829x = 41,940,340,205.04
  5. Step 5: Solve for x
    x = 41,940,340,205.04/269,829
  6. Step 6: Final answer
    x = 155,433.03

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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.