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Finding the Fourth Proportional to 290,970.85, 401,724.26 and 199,243.63

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Solution

The fourth proportional to 290,970.85, 401,724.26 and 199,243.63 is: 275,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,970.85 : 401,724.26 = 199,243.63 : x
  2. Step 2: Convert to fraction form
    290,970.85/401,724.26 = 199,243.63/x
  3. Step 3: Cross multiply
    290,970.85x = 401,724.26 × 199,243.63
  4. Step 4: Simplify right side
    290,970.85x = 80,040,998,825.25
  5. Step 5: Solve for x
    x = 80,040,998,825.25/290,970.85
  6. Step 6: Final answer
    x = 275,082.53

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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.