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Finding the Fourth Proportional to 415,083.60, 622,819.80 and 215,629.20

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Solution

The fourth proportional to 415,083.60, 622,819.80 and 215,629.20 is: 323,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,083.60 : 622,819.80 = 215,629.20 : x
  2. Step 2: Convert to fraction form
    415,083.60/622,819.80 = 215,629.20/x
  3. Step 3: Cross multiply
    415,083.60x = 622,819.80 × 215,629.20
  4. Step 4: Simplify right side
    415,083.60x = 134,298,135,218.16
  5. Step 5: Solve for x
    x = 134,298,135,218.16/415,083.60
  6. Step 6: Final answer
    x = 323,544.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.