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Finding the Fourth Proportional to 305,991.20, 422,300.76 and 185,198.96

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Solution

The fourth proportional to 305,991.20, 422,300.76 and 185,198.96 is: 255,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,991.20 : 422,300.76 = 185,198.96 : x
  2. Step 2: Convert to fraction form
    305,991.20/422,300.76 = 185,198.96/x
  3. Step 3: Cross multiply
    305,991.20x = 422,300.76 × 185,198.96
  4. Step 4: Simplify right side
    305,991.20x = 78,209,661,559.21
  5. Step 5: Solve for x
    x = 78,209,661,559.21/305,991.20
  6. Step 6: Final answer
    x = 255,594.48

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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.