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Finding the Fourth Proportional to 378,194.47, 521,908.36 and 208,428.59

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Solution

The fourth proportional to 378,194.47, 521,908.36 and 208,428.59 is: 287,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,194.47 : 521,908.36 = 208,428.59 : x
  2. Step 2: Convert to fraction form
    378,194.47/521,908.36 = 208,428.59/x
  3. Step 3: Cross multiply
    378,194.47x = 521,908.36 × 208,428.59
  4. Step 4: Simplify right side
    378,194.47x = 108,780,625,540.12
  5. Step 5: Solve for x
    x = 108,780,625,540.12/378,194.47
  6. Step 6: Final answer
    x = 287,631.46

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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.