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Finding the Fourth Proportional to 279,765.96, 419,772.96 and 146,614.56

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Solution

The fourth proportional to 279,765.96, 419,772.96 and 146,614.56 is: 219,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,765.96 : 419,772.96 = 146,614.56 : x
  2. Step 2: Convert to fraction form
    279,765.96/419,772.96 = 146,614.56/x
  3. Step 3: Cross multiply
    279,765.96x = 419,772.96 × 146,614.56
  4. Step 4: Simplify right side
    279,765.96x = 61,544,827,830.30
  5. Step 5: Solve for x
    x = 61,544,827,830.30/279,765.96
  6. Step 6: Final answer
    x = 219,986.83

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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.