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Finding the Fourth Proportional to 309,997.39, 427,843.09 and 189,208.87

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Solution

The fourth proportional to 309,997.39, 427,843.09 and 189,208.87 is: 261,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,997.39 : 427,843.09 = 189,208.87 : x
  2. Step 2: Convert to fraction form
    309,997.39/427,843.09 = 189,208.87/x
  3. Step 3: Cross multiply
    309,997.39x = 427,843.09 × 189,208.87
  4. Step 4: Simplify right side
    309,997.39x = 80,951,708,521.74
  5. Step 5: Solve for x
    x = 80,951,708,521.74/309,997.39
  6. Step 6: Final answer
    x = 261,136.74

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1.5x scale

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.