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Finding the Fourth Proportional to 279,701.44, 419,563.68 and 146,507.20

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Solution

The fourth proportional to 279,701.44, 419,563.68 and 146,507.20 is: 219,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,701.44 : 419,563.68 = 146,507.20 : x
  2. Step 2: Convert to fraction form
    279,701.44/419,563.68 = 146,507.20/x
  3. Step 3: Cross multiply
    279,701.44x = 419,563.68 × 146,507.20
  4. Step 4: Simplify right side
    279,701.44x = 61,469,099,978.50
  5. Step 5: Solve for x
    x = 61,469,099,978.50/279,701.44
  6. Step 6: Final answer
    x = 219,766.83

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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.