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Finding the Fourth Proportional to 354,138, 488,710.44 and 195,162

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Solution

The fourth proportional to 354,138, 488,710.44 and 195,162 is: 269,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,138 : 488,710.44 = 195,162 : x
  2. Step 2: Convert to fraction form
    354,138/488,710.44 = 195,162/x
  3. Step 3: Cross multiply
    354,138x = 488,710.44 × 195,162
  4. Step 4: Simplify right side
    354,138x = 95,377,706,891.28
  5. Step 5: Solve for x
    x = 95,377,706,891.28/354,138
  6. Step 6: Final answer
    x = 269,323.56

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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.