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Finding the Fourth Proportional to 308,691.96, 425,754.54 and 206,685

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Solution

The fourth proportional to 308,691.96, 425,754.54 and 206,685 is: 285,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,691.96 : 425,754.54 = 206,685 : x
  2. Step 2: Convert to fraction form
    308,691.96/425,754.54 = 206,685/x
  3. Step 3: Cross multiply
    308,691.96x = 425,754.54 × 206,685
  4. Step 4: Simplify right side
    308,691.96x = 87,997,077,099.90
  5. Step 5: Solve for x
    x = 87,997,077,099.90/308,691.96
  6. Step 6: Final answer
    x = 285,064.36

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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.