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Finding the Fourth Proportional to 263,649.91, 363,836.75 and 142,791.20

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Solution

The fourth proportional to 263,649.91, 363,836.75 and 142,791.20 is: 197,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,649.91 : 363,836.75 = 142,791.20 : x
  2. Step 2: Convert to fraction form
    263,649.91/363,836.75 = 142,791.20/x
  3. Step 3: Cross multiply
    263,649.91x = 363,836.75 × 142,791.20
  4. Step 4: Simplify right side
    263,649.91x = 51,952,684,674.39
  5. Step 5: Solve for x
    x = 51,952,684,674.39/263,649.91
  6. Step 6: Final answer
    x = 197,051.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.