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Finding the Fourth Proportional to 415,229.20, 622,843.80 and 340,433.80

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Solution

The fourth proportional to 415,229.20, 622,843.80 and 340,433.80 is: 510,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,229.20 : 622,843.80 = 340,433.80 : x
  2. Step 2: Convert to fraction form
    415,229.20/622,843.80 = 340,433.80/x
  3. Step 3: Cross multiply
    415,229.20x = 622,843.80 × 340,433.80
  4. Step 4: Simplify right side
    415,229.20x = 212,037,081,640.44
  5. Step 5: Solve for x
    x = 212,037,081,640.44/415,229.20
  6. Step 6: Final answer
    x = 510,650.70

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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.