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Finding the Fourth Proportional to 419,899.44, 629,846.82 and 104,356.20

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Solution

The fourth proportional to 419,899.44, 629,846.82 and 104,356.20 is: 156,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,899.44 : 629,846.82 = 104,356.20 : x
  2. Step 2: Convert to fraction form
    419,899.44/629,846.82 = 104,356.20/x
  3. Step 3: Cross multiply
    419,899.44x = 629,846.82 × 104,356.20
  4. Step 4: Simplify right side
    419,899.44x = 65,728,420,717.28
  5. Step 5: Solve for x
    x = 65,728,420,717.28/419,899.44
  6. Step 6: Final answer
    x = 156,533.72

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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.