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Finding the Fourth Proportional to 263,632, 363,813.44 and 144,400

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Solution

The fourth proportional to 263,632, 363,813.44 and 144,400 is: 199,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,632 : 363,813.44 = 144,400 : x
  2. Step 2: Convert to fraction form
    263,632/363,813.44 = 144,400/x
  3. Step 3: Cross multiply
    263,632x = 363,813.44 × 144,400
  4. Step 4: Simplify right side
    263,632x = 52,534,660,736
  5. Step 5: Solve for x
    x = 52,534,660,736/263,632
  6. Step 6: Final answer
    x = 199,272.70

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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.