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Finding the Fourth Proportional to 427,229.20, 640,843.80 and 409,027.60

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Solution

The fourth proportional to 427,229.20, 640,843.80 and 409,027.60 is: 613,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,229.20 : 640,843.80 = 409,027.60 : x
  2. Step 2: Convert to fraction form
    427,229.20/640,843.80 = 409,027.60/x
  3. Step 3: Cross multiply
    427,229.20x = 640,843.80 × 409,027.60
  4. Step 4: Simplify right side
    427,229.20x = 262,122,801,488.88
  5. Step 5: Solve for x
    x = 262,122,801,488.88/427,229.20
  6. Step 6: Final answer
    x = 613,541.40

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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.