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Finding the Fourth Proportional to 378,876.09, 522,847.93 and 209,109

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Solution

The fourth proportional to 378,876.09, 522,847.93 and 209,109 is: 288,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,876.09 : 522,847.93 = 209,109 : x
  2. Step 2: Convert to fraction form
    378,876.09/522,847.93 = 209,109/x
  3. Step 3: Cross multiply
    378,876.09x = 522,847.93 × 209,109
  4. Step 4: Simplify right side
    378,876.09x = 109,332,207,794.37
  5. Step 5: Solve for x
    x = 109,332,207,794.37/378,876.09
  6. Step 6: Final answer
    x = 288,569.83

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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.