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Finding the Fourth Proportional to 457,057.90, 685,650.57 and 190,757.44

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Solution

The fourth proportional to 457,057.90, 685,650.57 and 190,757.44 is: 286,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,057.90 : 685,650.57 = 190,757.44 : x
  2. Step 2: Convert to fraction form
    457,057.90/685,650.57 = 190,757.44/x
  3. Step 3: Cross multiply
    457,057.90x = 685,650.57 × 190,757.44
  4. Step 4: Simplify right side
    457,057.90x = 130,792,947,467.74
  5. Step 5: Solve for x
    x = 130,792,947,467.74/457,057.90
  6. Step 6: Final answer
    x = 286,162.75

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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.