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Finding the Fourth Proportional to 416,632.56, 624,978.21 and 206,214

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Solution

The fourth proportional to 416,632.56, 624,978.21 and 206,214 is: 309,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,632.56 : 624,978.21 = 206,214 : x
  2. Step 2: Convert to fraction form
    416,632.56/624,978.21 = 206,214/x
  3. Step 3: Cross multiply
    416,632.56x = 624,978.21 × 206,214
  4. Step 4: Simplify right side
    416,632.56x = 128,879,256,596.94
  5. Step 5: Solve for x
    x = 128,879,256,596.94/416,632.56
  6. Step 6: Final answer
    x = 309,335.54

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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.