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Finding the Fourth Proportional to 305,834.40, 458,751.60 and 199,546.20

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Solution

The fourth proportional to 305,834.40, 458,751.60 and 199,546.20 is: 299,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,834.40 : 458,751.60 = 199,546.20 : x
  2. Step 2: Convert to fraction form
    305,834.40/458,751.60 = 199,546.20/x
  3. Step 3: Cross multiply
    305,834.40x = 458,751.60 × 199,546.20
  4. Step 4: Simplify right side
    305,834.40x = 91,542,138,523.92
  5. Step 5: Solve for x
    x = 91,542,138,523.92/305,834.40
  6. Step 6: Final answer
    x = 299,319.30

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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.