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Finding the Fourth Proportional to 275,827.81, 380,680.75 and 154,978.44

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Solution

The fourth proportional to 275,827.81, 380,680.75 and 154,978.44 is: 213,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,827.81 : 380,680.75 = 154,978.44 : x
  2. Step 2: Convert to fraction form
    275,827.81/380,680.75 = 154,978.44/x
  3. Step 3: Cross multiply
    275,827.81x = 380,680.75 × 154,978.44
  4. Step 4: Simplify right side
    275,827.81x = 58,997,308,773.03
  5. Step 5: Solve for x
    x = 58,997,308,773.03/275,827.81
  6. Step 6: Final answer
    x = 213,891.81

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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.