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Finding the Fourth Proportional to 378,101.64, 521,777.28 and 206,019

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Solution

The fourth proportional to 378,101.64, 521,777.28 and 206,019 is: 284,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,101.64 : 521,777.28 = 206,019 : x
  2. Step 2: Convert to fraction form
    378,101.64/521,777.28 = 206,019/x
  3. Step 3: Cross multiply
    378,101.64x = 521,777.28 × 206,019
  4. Step 4: Simplify right side
    378,101.64x = 107,496,033,448.32
  5. Step 5: Solve for x
    x = 107,496,033,448.32/378,101.64
  6. Step 6: Final answer
    x = 284,304.59

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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.