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Finding the Fourth Proportional to 279,623.70, 419,435.55 and 161,197.65

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Solution

The fourth proportional to 279,623.70, 419,435.55 and 161,197.65 is: 241,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,623.70 : 419,435.55 = 161,197.65 : x
  2. Step 2: Convert to fraction form
    279,623.70/419,435.55 = 161,197.65/x
  3. Step 3: Cross multiply
    279,623.70x = 419,435.55 × 161,197.65
  4. Step 4: Simplify right side
    279,623.70x = 67,612,024,986.46
  5. Step 5: Solve for x
    x = 67,612,024,986.46/279,623.70
  6. Step 6: Final answer
    x = 241,796.48

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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.