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Finding the Fourth Proportional to 305,909.30, 422,214.86 and 195,456.94

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Solution

The fourth proportional to 305,909.30, 422,214.86 and 195,456.94 is: 269,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.30 : 422,214.86 = 195,456.94 : x
  2. Step 2: Convert to fraction form
    305,909.30/422,214.86 = 195,456.94/x
  3. Step 3: Cross multiply
    305,909.30x = 422,214.86 × 195,456.94
  4. Step 4: Simplify right side
    305,909.30x = 82,524,824,558.13
  5. Step 5: Solve for x
    x = 82,524,824,558.13/305,909.30
  6. Step 6: Final answer
    x = 269,768.93

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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.