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Finding the Fourth Proportional to 419,752.65, 629,443.22 and 120,164.97

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Solution

The fourth proportional to 419,752.65, 629,443.22 and 120,164.97 is: 180,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,752.65 : 629,443.22 = 120,164.97 : x
  2. Step 2: Convert to fraction form
    419,752.65/629,443.22 = 120,164.97/x
  3. Step 3: Cross multiply
    419,752.65x = 629,443.22 × 120,164.97
  4. Step 4: Simplify right side
    419,752.65x = 75,637,025,047.18
  5. Step 5: Solve for x
    x = 75,637,025,047.18/419,752.65
  6. Step 6: Final answer
    x = 180,194.28

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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.