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Finding the Fourth Proportional to 378,911.12, 522,894.79 and 206,828.37

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Solution

The fourth proportional to 378,911.12, 522,894.79 and 206,828.37 is: 285,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,911.12 : 522,894.79 = 206,828.37 : x
  2. Step 2: Convert to fraction form
    378,911.12/522,894.79 = 206,828.37/x
  3. Step 3: Cross multiply
    378,911.12x = 522,894.79 × 206,828.37
  4. Step 4: Simplify right side
    378,911.12x = 108,149,477,355.73
  5. Step 5: Solve for x
    x = 108,149,477,355.73/378,911.12
  6. Step 6: Final answer
    x = 285,421.76

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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.