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Finding the Fourth Proportional to 819,197, 1,229,002.92 and 228,221

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Solution

The fourth proportional to 819,197, 1,229,002.92 and 228,221 is: 342,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,197 : 1,229,002.92 = 228,221 : x
  2. Step 2: Convert to fraction form
    819,197/1,229,002.92 = 228,221/x
  3. Step 3: Cross multiply
    819,197x = 1,229,002.92 × 228,221
  4. Step 4: Simplify right side
    819,197x = 280,484,275,405.32
  5. Step 5: Solve for x
    x = 280,484,275,405.32/819,197
  6. Step 6: Final answer
    x = 342,389.29

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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.