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Finding the Fourth Proportional to 305,329, 421,354.02 and 171,193

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Solution

The fourth proportional to 305,329, 421,354.02 and 171,193 is: 236,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,329 : 421,354.02 = 171,193 : x
  2. Step 2: Convert to fraction form
    305,329/421,354.02 = 171,193/x
  3. Step 3: Cross multiply
    305,329x = 421,354.02 × 171,193
  4. Step 4: Simplify right side
    305,329x = 72,132,858,745.86
  5. Step 5: Solve for x
    x = 72,132,858,745.86/305,329
  6. Step 6: Final answer
    x = 236,246.34

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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.