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Finding the Fourth Proportional to 413,873.15, 620,471.21 and 214,250.54

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Solution

The fourth proportional to 413,873.15, 620,471.21 and 214,250.54 is: 321,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,873.15 : 620,471.21 = 214,250.54 : x
  2. Step 2: Convert to fraction form
    413,873.15/620,471.21 = 214,250.54/x
  3. Step 3: Cross multiply
    413,873.15x = 620,471.21 × 214,250.54
  4. Step 4: Simplify right side
    413,873.15x = 132,936,287,623.35
  5. Step 5: Solve for x
    x = 132,936,287,623.35/413,873.15
  6. Step 6: Final answer
    x = 321,200.56

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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.