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Finding the Fourth Proportional to 378,179.93, 521,888.31 and 208,414.05

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Solution

The fourth proportional to 378,179.93, 521,888.31 and 208,414.05 is: 287,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,179.93 : 521,888.31 = 208,414.05 : x
  2. Step 2: Convert to fraction form
    378,179.93/521,888.31 = 208,414.05/x
  3. Step 3: Cross multiply
    378,179.93x = 521,888.31 × 208,414.05
  4. Step 4: Simplify right side
    378,179.93x = 108,768,856,334.76
  5. Step 5: Solve for x
    x = 108,768,856,334.76/378,179.93
  6. Step 6: Final answer
    x = 287,611.39

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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.