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Finding the Fourth Proportional to 378,915, 522,902.75 and 209,149.17

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Solution

The fourth proportional to 378,915, 522,902.75 and 209,149.17 is: 288,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,915 : 522,902.75 = 209,149.17 : x
  2. Step 2: Convert to fraction form
    378,915/522,902.75 = 209,149.17/x
  3. Step 3: Cross multiply
    378,915x = 522,902.75 × 209,149.17
  4. Step 4: Simplify right side
    378,915x = 109,364,675,107.47
  5. Step 5: Solve for x
    x = 109,364,675,107.47/378,915
  6. Step 6: Final answer
    x = 288,625.88

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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.