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Finding the Fourth Proportional to 414,727.40, 622,747.20 and 315,000.20

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Solution

The fourth proportional to 414,727.40, 622,747.20 and 315,000.20 is: 472,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,727.40 : 622,747.20 = 315,000.20 : x
  2. Step 2: Convert to fraction form
    414,727.40/622,747.20 = 315,000.20/x
  3. Step 3: Cross multiply
    414,727.40x = 622,747.20 × 315,000.20
  4. Step 4: Simplify right side
    414,727.40x = 196,165,492,549.44
  5. Step 5: Solve for x
    x = 196,165,492,549.44/414,727.40
  6. Step 6: Final answer
    x = 472,998.63

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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.