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Finding the Fourth Proportional to 427,738.60, 590,469.78 and 255,716.20

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Solution

The fourth proportional to 427,738.60, 590,469.78 and 255,716.20 is: 353,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,738.60 : 590,469.78 = 255,716.20 : x
  2. Step 2: Convert to fraction form
    427,738.60/590,469.78 = 255,716.20/x
  3. Step 3: Cross multiply
    427,738.60x = 590,469.78 × 255,716.20
  4. Step 4: Simplify right side
    427,738.60x = 150,992,688,356.44
  5. Step 5: Solve for x
    x = 150,992,688,356.44/427,738.60
  6. Step 6: Final answer
    x = 353,002.25

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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.