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Finding the Fourth Proportional to 422,419, 582,847.48 and 250,391.20

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Solution

The fourth proportional to 422,419, 582,847.48 and 250,391.20 is: 345,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,419 : 582,847.48 = 250,391.20 : x
  2. Step 2: Convert to fraction form
    422,419/582,847.48 = 250,391.20/x
  3. Step 3: Cross multiply
    422,419x = 582,847.48 × 250,391.20
  4. Step 4: Simplify right side
    422,419x = 145,939,879,934.18
  5. Step 5: Solve for x
    x = 145,939,879,934.18/422,419
  6. Step 6: Final answer
    x = 345,486.07

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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.