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Finding the Fourth Proportional to 408,107.77, 612,163.10 and 123,800.81

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Solution

The fourth proportional to 408,107.77, 612,163.10 and 123,800.81 is: 185,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107.77 : 612,163.10 = 123,800.81 : x
  2. Step 2: Convert to fraction form
    408,107.77/612,163.10 = 123,800.81/x
  3. Step 3: Cross multiply
    408,107.77x = 612,163.10 × 123,800.81
  4. Step 4: Simplify right side
    408,107.77x = 75,786,284,880.80
  5. Step 5: Solve for x
    x = 75,786,284,880.80/408,107.77
  6. Step 6: Final answer
    x = 185,701.65

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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.