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Finding the Fourth Proportional to 360,971.26, 498,144.28 and 199,829

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Solution

The fourth proportional to 360,971.26, 498,144.28 and 199,829 is: 275,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,971.26 : 498,144.28 = 199,829 : x
  2. Step 2: Convert to fraction form
    360,971.26/498,144.28 = 199,829/x
  3. Step 3: Cross multiply
    360,971.26x = 498,144.28 × 199,829
  4. Step 4: Simplify right side
    360,971.26x = 99,543,673,328.12
  5. Step 5: Solve for x
    x = 99,543,673,328.12/360,971.26
  6. Step 6: Final answer
    x = 275,766.20

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1.5x scale

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.