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Finding the Fourth Proportional to 395,471.40, 593,091.90 and 142,722.60

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Solution

The fourth proportional to 395,471.40, 593,091.90 and 142,722.60 is: 214,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,471.40 : 593,091.90 = 142,722.60 : x
  2. Step 2: Convert to fraction form
    395,471.40/593,091.90 = 142,722.60/x
  3. Step 3: Cross multiply
    395,471.40x = 593,091.90 × 142,722.60
  4. Step 4: Simplify right side
    395,471.40x = 84,647,618,006.94
  5. Step 5: Solve for x
    x = 84,647,618,006.94/395,471.40
  6. Step 6: Final answer
    x = 214,042.33

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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.