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Finding the Fourth Proportional to 481,474.56, 664,745.76 and 309,469.44

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Solution

The fourth proportional to 481,474.56, 664,745.76 and 309,469.44 is: 427,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,474.56 : 664,745.76 = 309,469.44 : x
  2. Step 2: Convert to fraction form
    481,474.56/664,745.76 = 309,469.44/x
  3. Step 3: Cross multiply
    481,474.56x = 664,745.76 × 309,469.44
  4. Step 4: Simplify right side
    481,474.56x = 205,718,498,089.57
  5. Step 5: Solve for x
    x = 205,718,498,089.57/481,474.56
  6. Step 6: Final answer
    x = 427,267.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.