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Finding the Fourth Proportional to 419,983.08, 629,838 and 139,425

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Solution

The fourth proportional to 419,983.08, 629,838 and 139,425 is: 209,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,983.08 : 629,838 = 139,425 : x
  2. Step 2: Convert to fraction form
    419,983.08/629,838 = 139,425/x
  3. Step 3: Cross multiply
    419,983.08x = 629,838 × 139,425
  4. Step 4: Simplify right side
    419,983.08x = 87,815,163,150
  5. Step 5: Solve for x
    x = 87,815,163,150/419,983.08
  6. Step 6: Final answer
    x = 209,092.15

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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.