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Finding the Fourth Proportional to 819,185, 1,228,984.92 and 228,209

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Solution

The fourth proportional to 819,185, 1,228,984.92 and 228,209 is: 342,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,185 : 1,228,984.92 = 228,209 : x
  2. Step 2: Convert to fraction form
    819,185/1,228,984.92 = 228,209/x
  3. Step 3: Cross multiply
    819,185x = 1,228,984.92 × 228,209
  4. Step 4: Simplify right side
    819,185x = 280,465,419,608.28
  5. Step 5: Solve for x
    x = 280,465,419,608.28/819,185
  6. Step 6: Final answer
    x = 342,371.28

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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.