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Finding the Fourth Proportional to 419,986.38, 629,982 and 104,443.32

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Solution

The fourth proportional to 419,986.38, 629,982 and 104,443.32 is: 156,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,986.38 : 629,982 = 104,443.32 : x
  2. Step 2: Convert to fraction form
    419,986.38/629,982 = 104,443.32/x
  3. Step 3: Cross multiply
    419,986.38x = 629,982 × 104,443.32
  4. Step 4: Simplify right side
    419,986.38x = 65,797,411,620.24
  5. Step 5: Solve for x
    x = 65,797,411,620.24/419,986.38
  6. Step 6: Final answer
    x = 156,665.58

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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.