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Finding the Fourth Proportional to 400,884, 601,375.44 and 131,005.76

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Solution

The fourth proportional to 400,884, 601,375.44 and 131,005.76 is: 196,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,884 : 601,375.44 = 131,005.76 : x
  2. Step 2: Convert to fraction form
    400,884/601,375.44 = 131,005.76/x
  3. Step 3: Cross multiply
    400,884x = 601,375.44 × 131,005.76
  4. Step 4: Simplify right side
    400,884x = 78,783,646,562.53
  5. Step 5: Solve for x
    x = 78,783,646,562.53/400,884
  6. Step 6: Final answer
    x = 196,524.80

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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.