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Finding the Fourth Proportional to 263,190.13, 394,818 and 85,649.47

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Solution

The fourth proportional to 263,190.13, 394,818 and 85,649.47 is: 128,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,190.13 : 394,818 = 85,649.47 : x
  2. Step 2: Convert to fraction form
    263,190.13/394,818 = 85,649.47/x
  3. Step 3: Cross multiply
    263,190.13x = 394,818 × 85,649.47
  4. Step 4: Simplify right side
    263,190.13x = 33,815,952,446.46
  5. Step 5: Solve for x
    x = 33,815,952,446.46/263,190.13
  6. Step 6: Final answer
    x = 128,484.88

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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.