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Finding the Fourth Proportional to 378,164.88, 521,865.03 and 208,399.14

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Solution

The fourth proportional to 378,164.88, 521,865.03 and 208,399.14 is: 287,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,164.88 : 521,865.03 = 208,399.14 : x
  2. Step 2: Convert to fraction form
    378,164.88/521,865.03 = 208,399.14/x
  3. Step 3: Cross multiply
    378,164.88x = 521,865.03 × 208,399.14
  4. Step 4: Simplify right side
    378,164.88x = 108,756,223,448.07
  5. Step 5: Solve for x
    x = 108,756,223,448.07/378,164.88
  6. Step 6: Final answer
    x = 287,589.43

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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.