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Finding the Fourth Proportional to 419,576.52, 628,801.38 and 206,018.40

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Solution

The fourth proportional to 419,576.52, 628,801.38 and 206,018.40 is: 308,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,576.52 : 628,801.38 = 206,018.40 : x
  2. Step 2: Convert to fraction form
    419,576.52/628,801.38 = 206,018.40/x
  3. Step 3: Cross multiply
    419,576.52x = 628,801.38 × 206,018.40
  4. Step 4: Simplify right side
    419,576.52x = 129,544,654,225.39
  5. Step 5: Solve for x
    x = 129,544,654,225.39/419,576.52
  6. Step 6: Final answer
    x = 308,750.96

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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.