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Finding the Fourth Proportional to 457,198.35, 685,604.94 and 172,840.96

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Solution

The fourth proportional to 457,198.35, 685,604.94 and 172,840.96 is: 259,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,198.35 : 685,604.94 = 172,840.96 : x
  2. Step 2: Convert to fraction form
    457,198.35/685,604.94 = 172,840.96/x
  3. Step 3: Cross multiply
    457,198.35x = 685,604.94 × 172,840.96
  4. Step 4: Simplify right side
    457,198.35x = 118,500,616,010.34
  5. Step 5: Solve for x
    x = 118,500,616,010.34/457,198.35
  6. Step 6: Final answer
    x = 259,188.63

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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.