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Finding the Fourth Proportional to 414,468.40, 622,163.40 and 256,874.80

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Solution

The fourth proportional to 414,468.40, 622,163.40 and 256,874.80 is: 385,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.40 : 622,163.40 = 256,874.80 : x
  2. Step 2: Convert to fraction form
    414,468.40/622,163.40 = 256,874.80/x
  3. Step 3: Cross multiply
    414,468.40x = 622,163.40 × 256,874.80
  4. Step 4: Simplify right side
    414,468.40x = 159,818,098,942.32
  5. Step 5: Solve for x
    x = 159,818,098,942.32/414,468.40
  6. Step 6: Final answer
    x = 385,597.79

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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.