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Finding the Fourth Proportional to 457,231.70, 685,847.55 and 394,246.10

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Solution

The fourth proportional to 457,231.70, 685,847.55 and 394,246.10 is: 591,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,231.70 : 685,847.55 = 394,246.10 : x
  2. Step 2: Convert to fraction form
    457,231.70/685,847.55 = 394,246.10/x
  3. Step 3: Cross multiply
    457,231.70x = 685,847.55 × 394,246.10
  4. Step 4: Simplify right side
    457,231.70x = 270,392,721,782.06
  5. Step 5: Solve for x
    x = 270,392,721,782.06/457,231.70
  6. Step 6: Final answer
    x = 591,369.15

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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.