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Finding the Fourth Proportional to 378,607.45, 522,481.61 and 206,526.17

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Solution

The fourth proportional to 378,607.45, 522,481.61 and 206,526.17 is: 285,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,607.45 : 522,481.61 = 206,526.17 : x
  2. Step 2: Convert to fraction form
    378,607.45/522,481.61 = 206,526.17/x
  3. Step 3: Cross multiply
    378,607.45x = 522,481.61 × 206,526.17
  4. Step 4: Simplify right side
    378,607.45x = 107,906,125,808.73
  5. Step 5: Solve for x
    x = 107,906,125,808.73/378,607.45
  6. Step 6: Final answer
    x = 285,007.93

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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.