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Finding the Fourth Proportional to 263,361.88, 363,438.39 and 142,503.40

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Solution

The fourth proportional to 263,361.88, 363,438.39 and 142,503.40 is: 196,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,361.88 : 363,438.39 = 142,503.40 : x
  2. Step 2: Convert to fraction form
    263,361.88/363,438.39 = 142,503.40/x
  3. Step 3: Cross multiply
    263,361.88x = 363,438.39 × 142,503.40
  4. Step 4: Simplify right side
    263,361.88x = 51,791,206,265.53
  5. Step 5: Solve for x
    x = 51,791,206,265.53/263,361.88
  6. Step 6: Final answer
    x = 196,654.15

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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.