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Finding the Fourth Proportional to 512,978.80, 769,511.96 and 133,949.92

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Solution

The fourth proportional to 512,978.80, 769,511.96 and 133,949.92 is: 200,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,978.80 : 769,511.96 = 133,949.92 : x
  2. Step 2: Convert to fraction form
    512,978.80/769,511.96 = 133,949.92/x
  3. Step 3: Cross multiply
    512,978.80x = 769,511.96 × 133,949.92
  4. Step 4: Simplify right side
    512,978.80x = 103,076,065,481.04
  5. Step 5: Solve for x
    x = 103,076,065,481.04/512,978.80
  6. Step 6: Final answer
    x = 200,936.31

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