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Finding the Fourth Proportional to 360,970.26, 498,142.90 and 199,828

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Solution

The fourth proportional to 360,970.26, 498,142.90 and 199,828 is: 275,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,970.26 : 498,142.90 = 199,828 : x
  2. Step 2: Convert to fraction form
    360,970.26/498,142.90 = 199,828/x
  3. Step 3: Cross multiply
    360,970.26x = 498,142.90 × 199,828
  4. Step 4: Simplify right side
    360,970.26x = 99,542,899,421.20
  5. Step 5: Solve for x
    x = 99,542,899,421.20/360,970.26
  6. Step 6: Final answer
    x = 275,764.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.