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Finding the Fourth Proportional to 279,144.20, 418,716.30 and 200,412.20

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Solution

The fourth proportional to 279,144.20, 418,716.30 and 200,412.20 is: 300,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,144.20 : 418,716.30 = 200,412.20 : x
  2. Step 2: Convert to fraction form
    279,144.20/418,716.30 = 200,412.20/x
  3. Step 3: Cross multiply
    279,144.20x = 418,716.30 × 200,412.20
  4. Step 4: Simplify right side
    279,144.20x = 83,915,854,858.86
  5. Step 5: Solve for x
    x = 83,915,854,858.86/279,144.20
  6. Step 6: Final answer
    x = 300,618.30

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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.