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Finding the Fourth Proportional to 279,794.90, 419,720.70 and 90,206.30

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Solution

The fourth proportional to 279,794.90, 419,720.70 and 90,206.30 is: 135,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,794.90 : 419,720.70 = 90,206.30 : x
  2. Step 2: Convert to fraction form
    279,794.90/419,720.70 = 90,206.30/x
  3. Step 3: Cross multiply
    279,794.90x = 419,720.70 × 90,206.30
  4. Step 4: Simplify right side
    279,794.90x = 37,861,451,380.41
  5. Step 5: Solve for x
    x = 37,861,451,380.41/279,794.90
  6. Step 6: Final answer
    x = 135,318.59

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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.