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Finding the Fourth Proportional to 819,315, 1,229,179.86 and 228,339

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Solution

The fourth proportional to 819,315, 1,229,179.86 and 228,339 is: 342,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,315 : 1,229,179.86 = 228,339 : x
  2. Step 2: Convert to fraction form
    819,315/1,229,179.86 = 228,339/x
  3. Step 3: Cross multiply
    819,315x = 1,229,179.86 × 228,339
  4. Step 4: Simplify right side
    819,315x = 280,669,700,052.54
  5. Step 5: Solve for x
    x = 280,669,700,052.54/819,315
  6. Step 6: Final answer
    x = 342,566.29

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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.