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Finding the Fourth Proportional to 314,163.60, 471,245.40 and 280,046.40

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Solution

The fourth proportional to 314,163.60, 471,245.40 and 280,046.40 is: 420,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,163.60 : 471,245.40 = 280,046.40 : x
  2. Step 2: Convert to fraction form
    314,163.60/471,245.40 = 280,046.40/x
  3. Step 3: Cross multiply
    314,163.60x = 471,245.40 × 280,046.40
  4. Step 4: Simplify right side
    314,163.60x = 131,970,577,786.56
  5. Step 5: Solve for x
    x = 131,970,577,786.56/314,163.60
  6. Step 6: Final answer
    x = 420,069.60

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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.