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Finding the Fourth Proportional to 400,813.20, 600,935.04 and 200,989.44

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Solution

The fourth proportional to 400,813.20, 600,935.04 and 200,989.44 is: 301,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,813.20 : 600,935.04 = 200,989.44 : x
  2. Step 2: Convert to fraction form
    400,813.20/600,935.04 = 200,989.44/x
  3. Step 3: Cross multiply
    400,813.20x = 600,935.04 × 200,989.44
  4. Step 4: Simplify right side
    400,813.20x = 120,781,597,165.98
  5. Step 5: Solve for x
    x = 120,781,597,165.98/400,813.20
  6. Step 6: Final answer
    x = 301,341.37

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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.