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Finding the Fourth Proportional to 490,671.85, 677,198.87 and 275,829.61

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Solution

The fourth proportional to 490,671.85, 677,198.87 and 275,829.61 is: 380,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,671.85 : 677,198.87 = 275,829.61 : x
  2. Step 2: Convert to fraction form
    490,671.85/677,198.87 = 275,829.61/x
  3. Step 3: Cross multiply
    490,671.85x = 677,198.87 × 275,829.61
  4. Step 4: Simplify right side
    490,671.85x = 186,791,498,825.39
  5. Step 5: Solve for x
    x = 186,791,498,825.39/490,671.85
  6. Step 6: Final answer
    x = 380,685.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.