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Finding the Fourth Proportional to 378,402.60, 522,171.78 and 208,638.12

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Solution

The fourth proportional to 378,402.60, 522,171.78 and 208,638.12 is: 287,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,402.60 : 522,171.78 = 208,638.12 : x
  2. Step 2: Convert to fraction form
    378,402.60/522,171.78 = 208,638.12/x
  3. Step 3: Cross multiply
    378,402.60x = 522,171.78 × 208,638.12
  4. Step 4: Simplify right side
    378,402.60x = 108,944,938,496.25
  5. Step 5: Solve for x
    x = 108,944,938,496.25/378,402.60
  6. Step 6: Final answer
    x = 287,907.48

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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.