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Finding the Fourth Proportional to 400,996.36, 601,079.82 and 190,474.12

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Solution

The fourth proportional to 400,996.36, 601,079.82 and 190,474.12 is: 285,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,996.36 : 601,079.82 = 190,474.12 : x
  2. Step 2: Convert to fraction form
    400,996.36/601,079.82 = 190,474.12/x
  3. Step 3: Cross multiply
    400,996.36x = 601,079.82 × 190,474.12
  4. Step 4: Simplify right side
    400,996.36x = 114,490,149,764.26
  5. Step 5: Solve for x
    x = 114,490,149,764.26/400,996.36
  6. Step 6: Final answer
    x = 285,514.19

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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.