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Finding the Fourth Proportional to 301,321.81, 415,827.48 and 165,351.97

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Solution

The fourth proportional to 301,321.81, 415,827.48 and 165,351.97 is: 228,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,321.81 : 415,827.48 = 165,351.97 : x
  2. Step 2: Convert to fraction form
    301,321.81/415,827.48 = 165,351.97/x
  3. Step 3: Cross multiply
    301,321.81x = 415,827.48 × 165,351.97
  4. Step 4: Simplify right side
    301,321.81x = 68,757,892,998.14
  5. Step 5: Solve for x
    x = 68,757,892,998.14/301,321.81
  6. Step 6: Final answer
    x = 228,187.57

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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.