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Finding the Fourth Proportional to 419,727.12, 629,678.16 and 139,224.12

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Solution

The fourth proportional to 419,727.12, 629,678.16 and 139,224.12 is: 208,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,727.12 : 629,678.16 = 139,224.12 : x
  2. Step 2: Convert to fraction form
    419,727.12/629,678.16 = 139,224.12/x
  3. Step 3: Cross multiply
    419,727.12x = 629,678.16 × 139,224.12
  4. Step 4: Simplify right side
    419,727.12x = 87,666,387,709.22
  5. Step 5: Solve for x
    x = 87,666,387,709.22/419,727.12
  6. Step 6: Final answer
    x = 208,865.20

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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.