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Finding the Fourth Proportional to 393,729.57, 590,114.54 and 204,085.38

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Solution

The fourth proportional to 393,729.57, 590,114.54 and 204,085.38 is: 305,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,729.57 : 590,114.54 = 204,085.38 : x
  2. Step 2: Convert to fraction form
    393,729.57/590,114.54 = 204,085.38/x
  3. Step 3: Cross multiply
    393,729.57x = 590,114.54 × 204,085.38
  4. Step 4: Simplify right side
    393,729.57x = 120,433,750,649.64
  5. Step 5: Solve for x
    x = 120,433,750,649.64/393,729.57
  6. Step 6: Final answer
    x = 305,879.36

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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.