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Finding the Fourth Proportional to 378,815.42, 522,776.32 and 206,744.47

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Solution

The fourth proportional to 378,815.42, 522,776.32 and 206,744.47 is: 285,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,815.42 : 522,776.32 = 206,744.47 : x
  2. Step 2: Convert to fraction form
    378,815.42/522,776.32 = 206,744.47/x
  3. Step 3: Cross multiply
    378,815.42x = 522,776.32 × 206,744.47
  4. Step 4: Simplify right side
    378,815.42x = 108,081,111,383.15
  5. Step 5: Solve for x
    x = 108,081,111,383.15/378,815.42
  6. Step 6: Final answer
    x = 285,313.39

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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.