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Finding the Fourth Proportional to 290,944.44, 436,343.76 and 206,458.20

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Solution

The fourth proportional to 290,944.44, 436,343.76 and 206,458.20 is: 309,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,944.44 : 436,343.76 = 206,458.20 : x
  2. Step 2: Convert to fraction form
    290,944.44/436,343.76 = 206,458.20/x
  3. Step 3: Cross multiply
    290,944.44x = 436,343.76 × 206,458.20
  4. Step 4: Simplify right side
    290,944.44x = 90,086,747,270.83
  5. Step 5: Solve for x
    x = 90,086,747,270.83/290,944.44
  6. Step 6: Final answer
    x = 309,635.57

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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.