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Finding the Fourth Proportional to 490,850.78, 735,833.25 and 341,161.56

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Solution

The fourth proportional to 490,850.78, 735,833.25 and 341,161.56 is: 511,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,850.78 : 735,833.25 = 341,161.56 : x
  2. Step 2: Convert to fraction form
    490,850.78/735,833.25 = 341,161.56/x
  3. Step 3: Cross multiply
    490,850.78x = 735,833.25 × 341,161.56
  4. Step 4: Simplify right side
    490,850.78x = 251,038,019,469.87
  5. Step 5: Solve for x
    x = 251,038,019,469.87/490,850.78
  6. Step 6: Final answer
    x = 511,434.50

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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.