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Finding the Fourth Proportional to 279,760.89, 419,765.37 and 146,609.49

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Solution

The fourth proportional to 279,760.89, 419,765.37 and 146,609.49 is: 219,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,760.89 : 419,765.37 = 146,609.49 : x
  2. Step 2: Convert to fraction form
    279,760.89/419,765.37 = 146,609.49/x
  3. Step 3: Cross multiply
    279,760.89x = 419,765.37 × 146,609.49
  4. Step 4: Simplify right side
    279,760.89x = 61,541,586,815.36
  5. Step 5: Solve for x
    x = 61,541,586,815.36/279,760.89
  6. Step 6: Final answer
    x = 219,979.24

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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.