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Finding the Fourth Proportional to 3,177,785.22, 4,766,636.81 and 781,650.61

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Solution

The fourth proportional to 3,177,785.22, 4,766,636.81 and 781,650.61 is: 1,172,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,785.22 : 4,766,636.81 = 781,650.61 : x
  2. Step 2: Convert to fraction form
    3,177,785.22/4,766,636.81 = 781,650.61/x
  3. Step 3: Cross multiply
    3,177,785.22x = 4,766,636.81 × 781,650.61
  4. Step 4: Simplify right side
    3,177,785.22x = 3,725,844,560,222.49
  5. Step 5: Solve for x
    x = 3,725,844,560,222.49/3,177,785.22
  6. Step 6: Final answer
    x = 1,172,465.82

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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.