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Finding the Fourth Proportional to 253,299.48, 379,449.87 and 205,968

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Solution

The fourth proportional to 253,299.48, 379,449.87 and 205,968 is: 308,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,299.48 : 379,449.87 = 205,968 : x
  2. Step 2: Convert to fraction form
    253,299.48/379,449.87 = 205,968/x
  3. Step 3: Cross multiply
    253,299.48x = 379,449.87 × 205,968
  4. Step 4: Simplify right side
    253,299.48x = 78,154,530,824.16
  5. Step 5: Solve for x
    x = 78,154,530,824.16/253,299.48
  6. Step 6: Final answer
    x = 308,545.96

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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.