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Finding the Fourth Proportional to 378,786.24, 522,720 and 209,016

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Solution

The fourth proportional to 378,786.24, 522,720 and 209,016 is: 288,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,786.24 : 522,720 = 209,016 : x
  2. Step 2: Convert to fraction form
    378,786.24/522,720 = 209,016/x
  3. Step 3: Cross multiply
    378,786.24x = 522,720 × 209,016
  4. Step 4: Simplify right side
    378,786.24x = 109,256,843,520
  5. Step 5: Solve for x
    x = 109,256,843,520/378,786.24
  6. Step 6: Final answer
    x = 288,439.31

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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.