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Finding the Fourth Proportional to 301,255.13, 415,736.16 and 165,286.61

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Solution

The fourth proportional to 301,255.13, 415,736.16 and 165,286.61 is: 228,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255.13 : 415,736.16 = 165,286.61 : x
  2. Step 2: Convert to fraction form
    301,255.13/415,736.16 = 165,286.61/x
  3. Step 3: Cross multiply
    301,255.13x = 415,736.16 × 165,286.61
  4. Step 4: Simplify right side
    301,255.13x = 68,715,618,462.14
  5. Step 5: Solve for x
    x = 68,715,618,462.14/301,255.13
  6. Step 6: Final answer
    x = 228,097.76

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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.