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Finding the Fourth Proportional to 308,563.90, 462,755.13 and 131,069.50

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Solution

The fourth proportional to 308,563.90, 462,755.13 and 131,069.50 is: 196,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,563.90 : 462,755.13 = 131,069.50 : x
  2. Step 2: Convert to fraction form
    308,563.90/462,755.13 = 131,069.50/x
  3. Step 3: Cross multiply
    308,563.90x = 462,755.13 × 131,069.50
  4. Step 4: Simplify right side
    308,563.90x = 60,653,083,511.54
  5. Step 5: Solve for x
    x = 60,653,083,511.54/308,563.90
  6. Step 6: Final answer
    x = 196,565.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.