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Finding the Fourth Proportional to 279,819.60, 419,729.40 and 90,279.60

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Solution

The fourth proportional to 279,819.60, 419,729.40 and 90,279.60 is: 135,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,819.60 : 419,729.40 = 90,279.60 : x
  2. Step 2: Convert to fraction form
    279,819.60/419,729.40 = 90,279.60/x
  3. Step 3: Cross multiply
    279,819.60x = 419,729.40 × 90,279.60
  4. Step 4: Simplify right side
    279,819.60x = 37,893,002,340.24
  5. Step 5: Solve for x
    x = 37,893,002,340.24/279,819.60
  6. Step 6: Final answer
    x = 135,419.40

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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.