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Finding the Fourth Proportional to 643,857.44, 965,878.32 and 200,660

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Solution

The fourth proportional to 643,857.44, 965,878.32 and 200,660 is: 301,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,857.44 : 965,878.32 = 200,660 : x
  2. Step 2: Convert to fraction form
    643,857.44/965,878.32 = 200,660/x
  3. Step 3: Cross multiply
    643,857.44x = 965,878.32 × 200,660
  4. Step 4: Simplify right side
    643,857.44x = 193,813,143,691.20
  5. Step 5: Solve for x
    x = 193,813,143,691.20/643,857.44
  6. Step 6: Final answer
    x = 301,018.72

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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.