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Finding the Fourth Proportional to 419,351.52, 628,080.93 and 194,239.09

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Solution

The fourth proportional to 419,351.52, 628,080.93 and 194,239.09 is: 290,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,351.52 : 628,080.93 = 194,239.09 : x
  2. Step 2: Convert to fraction form
    419,351.52/628,080.93 = 194,239.09/x
  3. Step 3: Cross multiply
    419,351.52x = 628,080.93 × 194,239.09
  4. Step 4: Simplify right side
    419,351.52x = 121,997,866,719.35
  5. Step 5: Solve for x
    x = 121,997,866,719.35/419,351.52
  6. Step 6: Final answer
    x = 290,920.29

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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.