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Finding the Fourth Proportional to 543,647.20, 815,665.20 and 228,200.80

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Solution

The fourth proportional to 543,647.20, 815,665.20 and 228,200.80 is: 342,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,647.20 : 815,665.20 = 228,200.80 : x
  2. Step 2: Convert to fraction form
    543,647.20/815,665.20 = 228,200.80/x
  3. Step 3: Cross multiply
    543,647.20x = 815,665.20 × 228,200.80
  4. Step 4: Simplify right side
    543,647.20x = 186,135,451,172.16
  5. Step 5: Solve for x
    x = 186,135,451,172.16/543,647.20
  6. Step 6: Final answer
    x = 342,382.80

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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.