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Finding the Fourth Proportional to 408,984.67, 613,757.25 and 142,745.21

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Solution

The fourth proportional to 408,984.67, 613,757.25 and 142,745.21 is: 214,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,984.67 : 613,757.25 = 142,745.21 : x
  2. Step 2: Convert to fraction form
    408,984.67/613,757.25 = 142,745.21/x
  3. Step 3: Cross multiply
    408,984.67x = 613,757.25 × 142,745.21
  4. Step 4: Simplify right side
    408,984.67x = 87,610,908,499.27
  5. Step 5: Solve for x
    x = 87,610,908,499.27/408,984.67
  6. Step 6: Final answer
    x = 214,215.63

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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.