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Finding the Fourth Proportional to 393,049.70, 589,699.12 and 140,324.77

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Solution

The fourth proportional to 393,049.70, 589,699.12 and 140,324.77 is: 210,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,049.70 : 589,699.12 = 140,324.77 : x
  2. Step 2: Convert to fraction form
    393,049.70/589,699.12 = 140,324.77/x
  3. Step 3: Cross multiply
    393,049.70x = 589,699.12 × 140,324.77
  4. Step 4: Simplify right side
    393,049.70x = 82,749,393,383.20
  5. Step 5: Solve for x
    x = 82,749,393,383.20/393,049.70
  6. Step 6: Final answer
    x = 210,531.63

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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.