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Finding the Fourth Proportional to 305,997, 422,315.46 and 171,861

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Solution

The fourth proportional to 305,997, 422,315.46 and 171,861 is: 237,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,997 : 422,315.46 = 171,861 : x
  2. Step 2: Convert to fraction form
    305,997/422,315.46 = 171,861/x
  3. Step 3: Cross multiply
    305,997x = 422,315.46 × 171,861
  4. Step 4: Simplify right side
    305,997x = 72,579,557,271.06
  5. Step 5: Solve for x
    x = 72,579,557,271.06/305,997
  6. Step 6: Final answer
    x = 237,190.42

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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.