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Finding the Fourth Proportional to 819,256, 1,229,091.36 and 228,280

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Solution

The fourth proportional to 819,256, 1,229,091.36 and 228,280 is: 342,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,256 : 1,229,091.36 = 228,280 : x
  2. Step 2: Convert to fraction form
    819,256/1,229,091.36 = 228,280/x
  3. Step 3: Cross multiply
    819,256x = 1,229,091.36 × 228,280
  4. Step 4: Simplify right side
    819,256x = 280,576,975,660.80
  5. Step 5: Solve for x
    x = 280,576,975,660.80/819,256
  6. Step 6: Final answer
    x = 342,477.78

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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.