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Finding the Fourth Proportional to 519,481.68, 777,814.94 and 269,638.80

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Solution

The fourth proportional to 519,481.68, 777,814.94 and 269,638.80 is: 403,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,481.68 : 777,814.94 = 269,638.80 : x
  2. Step 2: Convert to fraction form
    519,481.68/777,814.94 = 269,638.80/x
  3. Step 3: Cross multiply
    519,481.68x = 777,814.94 × 269,638.80
  4. Step 4: Simplify right side
    519,481.68x = 209,729,081,806.40
  5. Step 5: Solve for x
    x = 209,729,081,806.40/519,481.68
  6. Step 6: Final answer
    x = 403,727.58

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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.