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Finding the Fourth Proportional to 494,647.80, 741,993.30 and 162,223.80

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Solution

The fourth proportional to 494,647.80, 741,993.30 and 162,223.80 is: 243,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,647.80 : 741,993.30 = 162,223.80 : x
  2. Step 2: Convert to fraction form
    494,647.80/741,993.30 = 162,223.80/x
  3. Step 3: Cross multiply
    494,647.80x = 741,993.30 × 162,223.80
  4. Step 4: Simplify right side
    494,647.80x = 120,368,972,700.54
  5. Step 5: Solve for x
    x = 120,368,972,700.54/494,647.80
  6. Step 6: Final answer
    x = 243,342.78

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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.