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Finding the Fourth Proportional to 209,798.40, 289,537.92 and 119,170.56

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Solution

The fourth proportional to 209,798.40, 289,537.92 and 119,170.56 is: 164,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,798.40 : 289,537.92 = 119,170.56 : x
  2. Step 2: Convert to fraction form
    209,798.40/289,537.92 = 119,170.56/x
  3. Step 3: Cross multiply
    209,798.40x = 289,537.92 × 119,170.56
  4. Step 4: Simplify right side
    209,798.40x = 34,504,396,067.64
  5. Step 5: Solve for x
    x = 34,504,396,067.64/209,798.40
  6. Step 6: Final answer
    x = 164,464.53

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1.5x scale

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.