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Finding the Fourth Proportional to 819,201, 1,229,008.92 and 228,225

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Solution

The fourth proportional to 819,201, 1,229,008.92 and 228,225 is: 342,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,201 : 1,229,008.92 = 228,225 : x
  2. Step 2: Convert to fraction form
    819,201/1,229,008.92 = 228,225/x
  3. Step 3: Cross multiply
    819,201x = 1,229,008.92 × 228,225
  4. Step 4: Simplify right side
    819,201x = 280,490,560,767
  5. Step 5: Solve for x
    x = 280,490,560,767/819,201
  6. Step 6: Final answer
    x = 342,395.29

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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.