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Finding the Fourth Proportional to 279,878.56, 419,518.50 and 159,676.50

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Solution

The fourth proportional to 279,878.56, 419,518.50 and 159,676.50 is: 239,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,878.56 : 419,518.50 = 159,676.50 : x
  2. Step 2: Convert to fraction form
    279,878.56/419,518.50 = 159,676.50/x
  3. Step 3: Cross multiply
    279,878.56x = 419,518.50 × 159,676.50
  4. Step 4: Simplify right side
    279,878.56x = 66,987,245,765.25
  5. Step 5: Solve for x
    x = 66,987,245,765.25/279,878.56
  6. Step 6: Final answer
    x = 239,343.97

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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.