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Finding the Fourth Proportional to 308,692.96, 425,755.92 and 206,686

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Solution

The fourth proportional to 308,692.96, 425,755.92 and 206,686 is: 285,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,692.96 : 425,755.92 = 206,686 : x
  2. Step 2: Convert to fraction form
    308,692.96/425,755.92 = 206,686/x
  3. Step 3: Cross multiply
    308,692.96x = 425,755.92 × 206,686
  4. Step 4: Simplify right side
    308,692.96x = 87,997,788,081.12
  5. Step 5: Solve for x
    x = 87,997,788,081.12/308,692.96
  6. Step 6: Final answer
    x = 285,065.74

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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.