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Finding the Fourth Proportional to 408,794.37, 613,273.56 and 142,483.38

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Solution

The fourth proportional to 408,794.37, 613,273.56 and 142,483.38 is: 213,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,794.37 : 613,273.56 = 142,483.38 : x
  2. Step 2: Convert to fraction form
    408,794.37/613,273.56 = 142,483.38/x
  3. Step 3: Cross multiply
    408,794.37x = 613,273.56 × 142,483.38
  4. Step 4: Simplify right side
    408,794.37x = 87,381,289,693.43
  5. Step 5: Solve for x
    x = 87,381,289,693.43/408,794.37
  6. Step 6: Final answer
    x = 213,753.65

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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.