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Finding the Fourth Proportional to 414,687.40, 622,687.20 and 314,960.20

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Solution

The fourth proportional to 414,687.40, 622,687.20 and 314,960.20 is: 472,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,687.40 : 622,687.20 = 314,960.20 : x
  2. Step 2: Convert to fraction form
    414,687.40/622,687.20 = 314,960.20/x
  3. Step 3: Cross multiply
    414,687.40x = 622,687.20 × 314,960.20
  4. Step 4: Simplify right side
    414,687.40x = 196,121,685,049.44
  5. Step 5: Solve for x
    x = 196,121,685,049.44/414,687.40
  6. Step 6: Final answer
    x = 472,938.62

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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.