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Finding the Fourth Proportional to 352,415.44, 486,112.11 and 209,074

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Solution

The fourth proportional to 352,415.44, 486,112.11 and 209,074 is: 288,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,415.44 : 486,112.11 = 209,074 : x
  2. Step 2: Convert to fraction form
    352,415.44/486,112.11 = 209,074/x
  3. Step 3: Cross multiply
    352,415.44x = 486,112.11 × 209,074
  4. Step 4: Simplify right side
    352,415.44x = 101,633,403,286.14
  5. Step 5: Solve for x
    x = 101,633,403,286.14/352,415.44
  6. Step 6: Final answer
    x = 288,390.89

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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.