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Finding the Fourth Proportional to 457,033.89, 685,131 and 157,443.24

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Solution

The fourth proportional to 457,033.89, 685,131 and 157,443.24 is: 236,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,033.89 : 685,131 = 157,443.24 : x
  2. Step 2: Convert to fraction form
    457,033.89/685,131 = 157,443.24/x
  3. Step 3: Cross multiply
    457,033.89x = 685,131 × 157,443.24
  4. Step 4: Simplify right side
    457,033.89x = 107,869,244,464.44
  5. Step 5: Solve for x
    x = 107,869,244,464.44/457,033.89
  6. Step 6: Final answer
    x = 236,020.23

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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.