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Finding the Fourth Proportional to 543,912.80, 816,160.80 and 228,401.60

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Solution

The fourth proportional to 543,912.80, 816,160.80 and 228,401.60 is: 342,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,912.80 : 816,160.80 = 228,401.60 : x
  2. Step 2: Convert to fraction form
    543,912.80/816,160.80 = 228,401.60/x
  3. Step 3: Cross multiply
    543,912.80x = 816,160.80 × 228,401.60
  4. Step 4: Simplify right side
    543,912.80x = 186,412,432,577.28
  5. Step 5: Solve for x
    x = 186,412,432,577.28/543,912.80
  6. Step 6: Final answer
    x = 342,724.85

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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.