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Finding the Fourth Proportional to 414,934.20, 622,401.30 and 408,713.40

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Solution

The fourth proportional to 414,934.20, 622,401.30 and 408,713.40 is: 613,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,934.20 : 622,401.30 = 408,713.40 : x
  2. Step 2: Convert to fraction form
    414,934.20/622,401.30 = 408,713.40/x
  3. Step 3: Cross multiply
    414,934.20x = 622,401.30 × 408,713.40
  4. Step 4: Simplify right side
    414,934.20x = 254,383,751,487.42
  5. Step 5: Solve for x
    x = 254,383,751,487.42/414,934.20
  6. Step 6: Final answer
    x = 613,070.10

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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.