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Finding the Fourth Proportional to 261,770.40, 361,033.20 and 166,300.56

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Solution

The fourth proportional to 261,770.40, 361,033.20 and 166,300.56 is: 229,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,770.40 : 361,033.20 = 166,300.56 : x
  2. Step 2: Convert to fraction form
    261,770.40/361,033.20 = 166,300.56/x
  3. Step 3: Cross multiply
    261,770.40x = 361,033.20 × 166,300.56
  4. Step 4: Simplify right side
    261,770.40x = 60,040,023,338.59
  5. Step 5: Solve for x
    x = 60,040,023,338.59/261,770.40
  6. Step 6: Final answer
    x = 229,361.39

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