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Finding the Fourth Proportional to 393,042.20, 589,687.90 and 140,317.10

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Solution

The fourth proportional to 393,042.20, 589,687.90 and 140,317.10 is: 210,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,042.20 : 589,687.90 = 140,317.10 : x
  2. Step 2: Convert to fraction form
    393,042.20/589,687.90 = 140,317.10/x
  3. Step 3: Cross multiply
    393,042.20x = 589,687.90 × 140,317.10
  4. Step 4: Simplify right side
    393,042.20x = 82,743,292,733.86
  5. Step 5: Solve for x
    x = 82,743,292,733.86/393,042.20
  6. Step 6: Final answer
    x = 210,520.13

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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.