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Finding the Fourth Proportional to 427,475.20, 641,212.80 and 409,273.60

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Solution

The fourth proportional to 427,475.20, 641,212.80 and 409,273.60 is: 613,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,475.20 : 641,212.80 = 409,273.60 : x
  2. Step 2: Convert to fraction form
    427,475.20/641,212.80 = 409,273.60/x
  3. Step 3: Cross multiply
    427,475.20x = 641,212.80 × 409,273.60
  4. Step 4: Simplify right side
    427,475.20x = 262,431,471,022.08
  5. Step 5: Solve for x
    x = 262,431,471,022.08/427,475.20
  6. Step 6: Final answer
    x = 613,910.40

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Similar ratio
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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.