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Finding the Fourth Proportional to 269,142.20, 403,616.10 and 135,978.20

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Solution

The fourth proportional to 269,142.20, 403,616.10 and 135,978.20 is: 203,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,142.20 : 403,616.10 = 135,978.20 : x
  2. Step 2: Convert to fraction form
    269,142.20/403,616.10 = 135,978.20/x
  3. Step 3: Cross multiply
    269,142.20x = 403,616.10 × 135,978.20
  4. Step 4: Simplify right side
    269,142.20x = 54,882,990,769.02
  5. Step 5: Solve for x
    x = 54,882,990,769.02/269,142.20
  6. Step 6: Final answer
    x = 203,918.19

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1.5x scale

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.