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Finding the Fourth Proportional to 457,170.31, 685,757.74 and 187,445.77

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Solution

The fourth proportional to 457,170.31, 685,757.74 and 187,445.77 is: 281,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,170.31 : 685,757.74 = 187,445.77 : x
  2. Step 2: Convert to fraction form
    457,170.31/685,757.74 = 187,445.77/x
  3. Step 3: Cross multiply
    457,170.31x = 685,757.74 × 187,445.77
  4. Step 4: Simplify right side
    457,170.31x = 128,542,387,607.76
  5. Step 5: Solve for x
    x = 128,542,387,607.76/457,170.31
  6. Step 6: Final answer
    x = 281,169.59

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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.