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Finding the Fourth Proportional to 305,678, 421,874.52 and 171,542

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Solution

The fourth proportional to 305,678, 421,874.52 and 171,542 is: 236,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,678 : 421,874.52 = 171,542 : x
  2. Step 2: Convert to fraction form
    305,678/421,874.52 = 171,542/x
  3. Step 3: Cross multiply
    305,678x = 421,874.52 × 171,542
  4. Step 4: Simplify right side
    305,678x = 72,369,198,909.84
  5. Step 5: Solve for x
    x = 72,369,198,909.84/305,678
  6. Step 6: Final answer
    x = 236,749.78

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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.