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Finding the Fourth Proportional to 305,934.33, 422,257.14 and 170,015.13

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Solution

The fourth proportional to 305,934.33, 422,257.14 and 170,015.13 is: 234,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,934.33 : 422,257.14 = 170,015.13 : x
  2. Step 2: Convert to fraction form
    305,934.33/422,257.14 = 170,015.13/x
  3. Step 3: Cross multiply
    305,934.33x = 422,257.14 × 170,015.13
  4. Step 4: Simplify right side
    305,934.33x = 71,790,102,550.53
  5. Step 5: Solve for x
    x = 71,790,102,550.53/305,934.33
  6. Step 6: Final answer
    x = 234,658.54

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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.