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Finding the Fourth Proportional to 301,340.34, 415,845.78 and 165,375.54

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Solution

The fourth proportional to 301,340.34, 415,845.78 and 165,375.54 is: 228,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,340.34 : 415,845.78 = 165,375.54 : x
  2. Step 2: Convert to fraction form
    301,340.34/415,845.78 = 165,375.54/x
  3. Step 3: Cross multiply
    301,340.34x = 415,845.78 × 165,375.54
  4. Step 4: Simplify right side
    301,340.34x = 68,770,720,424.22
  5. Step 5: Solve for x
    x = 68,770,720,424.22/301,340.34
  6. Step 6: Final answer
    x = 228,216.11

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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.