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Finding the Fourth Proportional to 279,793.90, 419,719.20 and 90,205.30

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Solution

The fourth proportional to 279,793.90, 419,719.20 and 90,205.30 is: 135,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,793.90 : 419,719.20 = 90,205.30 : x
  2. Step 2: Convert to fraction form
    279,793.90/419,719.20 = 90,205.30/x
  3. Step 3: Cross multiply
    279,793.90x = 419,719.20 × 90,205.30
  4. Step 4: Simplify right side
    279,793.90x = 37,860,896,351.76
  5. Step 5: Solve for x
    x = 37,860,896,351.76/279,793.90
  6. Step 6: Final answer
    x = 135,317.09

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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.