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Finding the Fourth Proportional to 400,388.84, 600,165 and 133,930.24

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Solution

The fourth proportional to 400,388.84, 600,165 and 133,930.24 is: 200,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,388.84 : 600,165 = 133,930.24 : x
  2. Step 2: Convert to fraction form
    400,388.84/600,165 = 133,930.24/x
  3. Step 3: Cross multiply
    400,388.84x = 600,165 × 133,930.24
  4. Step 4: Simplify right side
    400,388.84x = 80,380,242,489.60
  5. Step 5: Solve for x
    x = 80,380,242,489.60/400,388.84
  6. Step 6: Final answer
    x = 200,755.45

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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.