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Finding the Fourth Proportional to 457,138.85, 685,753.38 and 157,579.97

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Solution

The fourth proportional to 457,138.85, 685,753.38 and 157,579.97 is: 236,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,138.85 : 685,753.38 = 157,579.97 : x
  2. Step 2: Convert to fraction form
    457,138.85/685,753.38 = 157,579.97/x
  3. Step 3: Cross multiply
    457,138.85x = 685,753.38 × 157,579.97
  4. Step 4: Simplify right side
    457,138.85x = 108,060,993,619.03
  5. Step 5: Solve for x
    x = 108,060,993,619.03/457,138.85
  6. Step 6: Final answer
    x = 236,385.50

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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.