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Finding the Fourth Proportional to 269,829.50, 404,763.90 and 103,617.50

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Solution

The fourth proportional to 269,829.50, 404,763.90 and 103,617.50 is: 155,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,829.50 : 404,763.90 = 103,617.50 : x
  2. Step 2: Convert to fraction form
    269,829.50/404,763.90 = 103,617.50/x
  3. Step 3: Cross multiply
    269,829.50x = 404,763.90 × 103,617.50
  4. Step 4: Simplify right side
    269,829.50x = 41,940,623,408.25
  5. Step 5: Solve for x
    x = 41,940,623,408.25/269,829.50
  6. Step 6: Final answer
    x = 155,433.80

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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.