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Finding the Fourth Proportional to 305,694, 421,896.60 and 171,558

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Solution

The fourth proportional to 305,694, 421,896.60 and 171,558 is: 236,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,694 : 421,896.60 = 171,558 : x
  2. Step 2: Convert to fraction form
    305,694/421,896.60 = 171,558/x
  3. Step 3: Cross multiply
    305,694x = 421,896.60 × 171,558
  4. Step 4: Simplify right side
    305,694x = 72,379,736,902.80
  5. Step 5: Solve for x
    x = 72,379,736,902.80/305,694
  6. Step 6: Final answer
    x = 236,771.86

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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.