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Finding the Fourth Proportional to 378,399.16, 522,190.20 and 208,633.78

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Solution

The fourth proportional to 378,399.16, 522,190.20 and 208,633.78 is: 287,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,399.16 : 522,190.20 = 208,633.78 : x
  2. Step 2: Convert to fraction form
    378,399.16/522,190.20 = 208,633.78/x
  3. Step 3: Cross multiply
    378,399.16x = 522,190.20 × 208,633.78
  4. Step 4: Simplify right side
    378,399.16x = 108,946,515,304.96
  5. Step 5: Solve for x
    x = 108,946,515,304.96/378,399.16
  6. Step 6: Final answer
    x = 287,914.26

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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.