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Finding the Fourth Proportional to 378,034.20, 566,395.20 and 354,414.60

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Solution

The fourth proportional to 378,034.20, 566,395.20 and 354,414.60 is: 531,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,034.20 : 566,395.20 = 354,414.60 : x
  2. Step 2: Convert to fraction form
    378,034.20/566,395.20 = 354,414.60/x
  3. Step 3: Cross multiply
    378,034.20x = 566,395.20 × 354,414.60
  4. Step 4: Simplify right side
    378,034.20x = 200,738,728,249.92
  5. Step 5: Solve for x
    x = 200,738,728,249.92/378,034.20
  6. Step 6: Final answer
    x = 531,006.79

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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.