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Finding the Fourth Proportional to 378,874.09, 522,845.17 and 209,107

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Solution

The fourth proportional to 378,874.09, 522,845.17 and 209,107 is: 288,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,874.09 : 522,845.17 = 209,107 : x
  2. Step 2: Convert to fraction form
    378,874.09/522,845.17 = 209,107/x
  3. Step 3: Cross multiply
    378,874.09x = 522,845.17 × 209,107
  4. Step 4: Simplify right side
    378,874.09x = 109,330,584,963.19
  5. Step 5: Solve for x
    x = 109,330,584,963.19/378,874.09
  6. Step 6: Final answer
    x = 288,567.07

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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.