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Finding the Fourth Proportional to 419,901.44, 629,849.82 and 104,358.20

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Solution

The fourth proportional to 419,901.44, 629,849.82 and 104,358.20 is: 156,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,901.44 : 629,849.82 = 104,358.20 : x
  2. Step 2: Convert to fraction form
    419,901.44/629,849.82 = 104,358.20/x
  3. Step 3: Cross multiply
    419,901.44x = 629,849.82 × 104,358.20
  4. Step 4: Simplify right side
    419,901.44x = 65,729,993,485.52
  5. Step 5: Solve for x
    x = 65,729,993,485.52/419,901.44
  6. Step 6: Final answer
    x = 156,536.72

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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.