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Finding the Fourth Proportional to 279,817.54, 419,849.98 and 146,665.96

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Solution

The fourth proportional to 279,817.54, 419,849.98 and 146,665.96 is: 220,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,817.54 : 419,849.98 = 146,665.96 : x
  2. Step 2: Convert to fraction form
    279,817.54/419,849.98 = 146,665.96/x
  3. Step 3: Cross multiply
    279,817.54x = 419,849.98 × 146,665.96
  4. Step 4: Simplify right side
    279,817.54x = 61,577,700,372.68
  5. Step 5: Solve for x
    x = 61,577,700,372.68/279,817.54
  6. Step 6: Final answer
    x = 220,063.76

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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.