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Finding the Fourth Proportional to 414,500.40, 622,672.20 and 398,833.20

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Solution

The fourth proportional to 414,500.40, 622,672.20 and 398,833.20 is: 599,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,500.40 : 622,672.20 = 398,833.20 : x
  2. Step 2: Convert to fraction form
    414,500.40/622,672.20 = 398,833.20/x
  3. Step 3: Cross multiply
    414,500.40x = 622,672.20 × 398,833.20
  4. Step 4: Simplify right side
    414,500.40x = 248,342,346,077.04
  5. Step 5: Solve for x
    x = 248,342,346,077.04/414,500.40
  6. Step 6: Final answer
    x = 599,136.57

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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.