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Finding the Fourth Proportional to 378,122, 521,819.34 and 208,367.06

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Solution

The fourth proportional to 378,122, 521,819.34 and 208,367.06 is: 287,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,122 : 521,819.34 = 208,367.06 : x
  2. Step 2: Convert to fraction form
    378,122/521,819.34 = 208,367.06/x
  3. Step 3: Cross multiply
    378,122x = 521,819.34 × 208,367.06
  4. Step 4: Simplify right side
    378,122x = 108,729,961,726.94
  5. Step 5: Solve for x
    x = 108,729,961,726.94/378,122
  6. Step 6: Final answer
    x = 287,552.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.