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Finding the Fourth Proportional to 664,589, 996,883.50 and 197,645

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Solution

The fourth proportional to 664,589, 996,883.50 and 197,645 is: 296,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,589 : 996,883.50 = 197,645 : x
  2. Step 2: Convert to fraction form
    664,589/996,883.50 = 197,645/x
  3. Step 3: Cross multiply
    664,589x = 996,883.50 × 197,645
  4. Step 4: Simplify right side
    664,589x = 197,029,039,357.50
  5. Step 5: Solve for x
    x = 197,029,039,357.50/664,589
  6. Step 6: Final answer
    x = 296,467.50

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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.