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Finding the Fourth Proportional to 275,978.88, 414,755.64 and 135,835.92

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Solution

The fourth proportional to 275,978.88, 414,755.64 and 135,835.92 is: 204,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,978.88 : 414,755.64 = 135,835.92 : x
  2. Step 2: Convert to fraction form
    275,978.88/414,755.64 = 135,835.92/x
  3. Step 3: Cross multiply
    275,978.88x = 414,755.64 × 135,835.92
  4. Step 4: Simplify right side
    275,978.88x = 56,338,713,934.59
  5. Step 5: Solve for x
    x = 56,338,713,934.59/275,978.88
  6. Step 6: Final answer
    x = 204,141.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.