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Finding the Fourth Proportional to 290,067.66, 435,768.57 and 206,032.23

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Solution

The fourth proportional to 290,067.66, 435,768.57 and 206,032.23 is: 309,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,067.66 : 435,768.57 = 206,032.23 : x
  2. Step 2: Convert to fraction form
    290,067.66/435,768.57 = 206,032.23/x
  3. Step 3: Cross multiply
    290,067.66x = 435,768.57 × 206,032.23
  4. Step 4: Simplify right side
    290,067.66x = 89,782,370,241.01
  5. Step 5: Solve for x
    x = 89,782,370,241.01/290,067.66
  6. Step 6: Final answer
    x = 309,522.17

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1.5x scale

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.