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Finding the Fourth Proportional to 378,379, 522,166.62 and 208,619.20

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Solution

The fourth proportional to 378,379, 522,166.62 and 208,619.20 is: 287,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,379 : 522,166.62 = 208,619.20 : x
  2. Step 2: Convert to fraction form
    378,379/522,166.62 = 208,619.20/x
  3. Step 3: Cross multiply
    378,379x = 522,166.62 × 208,619.20
  4. Step 4: Simplify right side
    378,379x = 108,933,982,531.10
  5. Step 5: Solve for x
    x = 108,933,982,531.10/378,379
  6. Step 6: Final answer
    x = 287,896.48

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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.