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Finding the Fourth Proportional to 352,306.97, 486,309.69 and 209,067

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Solution

The fourth proportional to 352,306.97, 486,309.69 and 209,067 is: 288,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,306.97 : 486,309.69 = 209,067 : x
  2. Step 2: Convert to fraction form
    352,306.97/486,309.69 = 209,067/x
  3. Step 3: Cross multiply
    352,306.97x = 486,309.69 × 209,067
  4. Step 4: Simplify right side
    352,306.97x = 101,671,307,959.23
  5. Step 5: Solve for x
    x = 101,671,307,959.23/352,306.97
  6. Step 6: Final answer
    x = 288,587.28

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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.