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Finding the Fourth Proportional to 819,323, 1,229,191.88 and 228,347

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Solution

The fourth proportional to 819,323, 1,229,191.88 and 228,347 is: 342,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,323 : 1,229,191.88 = 228,347 : x
  2. Step 2: Convert to fraction form
    819,323/1,229,191.88 = 228,347/x
  3. Step 3: Cross multiply
    819,323x = 1,229,191.88 × 228,347
  4. Step 4: Simplify right side
    819,323x = 280,682,278,222.36
  5. Step 5: Solve for x
    x = 280,682,278,222.36/819,323
  6. Step 6: Final answer
    x = 342,578.30

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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.