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Finding the Fourth Proportional to 412,314.47, 618,610.10 and 222,791.78

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Solution

The fourth proportional to 412,314.47, 618,610.10 and 222,791.78 is: 334,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,314.47 : 618,610.10 = 222,791.78 : x
  2. Step 2: Convert to fraction form
    412,314.47/618,610.10 = 222,791.78/x
  3. Step 3: Cross multiply
    412,314.47x = 618,610.10 × 222,791.78
  4. Step 4: Simplify right side
    412,314.47x = 137,821,245,737.54
  5. Step 5: Solve for x
    x = 137,821,245,737.54/412,314.47
  6. Step 6: Final answer
    x = 334,262.45

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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.