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Finding the Fourth Proportional to 513,676.78, 769,470.69 and 419,243.50

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Solution

The fourth proportional to 513,676.78, 769,470.69 and 419,243.50 is: 628,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,676.78 : 769,470.69 = 419,243.50 : x
  2. Step 2: Convert to fraction form
    513,676.78/769,470.69 = 419,243.50/x
  3. Step 3: Cross multiply
    513,676.78x = 769,470.69 × 419,243.50
  4. Step 4: Simplify right side
    513,676.78x = 322,595,585,223.02
  5. Step 5: Solve for x
    x = 322,595,585,223.02/513,676.78
  6. Step 6: Final answer
    x = 628,012.79

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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.