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Finding the Fourth Proportional to 819,072, 1,228,608 and 228,096

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Solution

The fourth proportional to 819,072, 1,228,608 and 228,096 is: 342,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,072 : 1,228,608 = 228,096 : x
  2. Step 2: Convert to fraction form
    819,072/1,228,608 = 228,096/x
  3. Step 3: Cross multiply
    819,072x = 1,228,608 × 228,096
  4. Step 4: Simplify right side
    819,072x = 280,240,570,368
  5. Step 5: Solve for x
    x = 280,240,570,368/819,072
  6. Step 6: Final answer
    x = 342,144

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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.