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Finding the Fourth Proportional to 378,662.45, 522,555.65 and 206,584.28

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Solution

The fourth proportional to 378,662.45, 522,555.65 and 206,584.28 is: 285,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,662.45 : 522,555.65 = 206,584.28 : x
  2. Step 2: Convert to fraction form
    378,662.45/522,555.65 = 206,584.28/x
  3. Step 3: Cross multiply
    378,662.45x = 522,555.65 × 206,584.28
  4. Step 4: Simplify right side
    378,662.45x = 107,951,784,538.03
  5. Step 5: Solve for x
    x = 107,951,784,538.03/378,662.45
  6. Step 6: Final answer
    x = 285,087.11

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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.