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Finding the Fourth Proportional to 490,015.31, 733,951.33 and 347,428.37

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Solution

The fourth proportional to 490,015.31, 733,951.33 and 347,428.37 is: 520,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,015.31 : 733,951.33 = 347,428.37 : x
  2. Step 2: Convert to fraction form
    490,015.31/733,951.33 = 347,428.37/x
  3. Step 3: Cross multiply
    490,015.31x = 733,951.33 × 347,428.37
  4. Step 4: Simplify right side
    490,015.31x = 254,995,515,207.54
  5. Step 5: Solve for x
    x = 254,995,515,207.54/490,015.31
  6. Step 6: Final answer
    x = 520,382.76

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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.