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Finding the Fourth Proportional to 819,002.28, 1,228,601.85 and 774,212.52

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Solution

The fourth proportional to 819,002.28, 1,228,601.85 and 774,212.52 is: 1,161,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,002.28 : 1,228,601.85 = 774,212.52 : x
  2. Step 2: Convert to fraction form
    819,002.28/1,228,601.85 = 774,212.52/x
  3. Step 3: Cross multiply
    819,002.28x = 1,228,601.85 × 774,212.52
  4. Step 4: Simplify right side
    819,002.28x = 951,198,934,365.16
  5. Step 5: Solve for x
    x = 951,198,934,365.16/819,002.28
  6. Step 6: Final answer
    x = 1,161,411.83

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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.