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Finding the Fourth Proportional to 352,122, 485,953.47 and 199,161.60

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Solution

The fourth proportional to 352,122, 485,953.47 and 199,161.60 is: 274,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,122 : 485,953.47 = 199,161.60 : x
  2. Step 2: Convert to fraction form
    352,122/485,953.47 = 199,161.60/x
  3. Step 3: Cross multiply
    352,122x = 485,953.47 × 199,161.60
  4. Step 4: Simplify right side
    352,122x = 96,783,270,610.75
  5. Step 5: Solve for x
    x = 96,783,270,610.75/352,122
  6. Step 6: Final answer
    x = 274,857.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.