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Finding the Fourth Proportional to 274,191.88, 378,232.82 and 159,457.96

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Solution

The fourth proportional to 274,191.88, 378,232.82 and 159,457.96 is: 219,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,191.88 : 378,232.82 = 159,457.96 : x
  2. Step 2: Convert to fraction form
    274,191.88/378,232.82 = 159,457.96/x
  3. Step 3: Cross multiply
    274,191.88x = 378,232.82 × 159,457.96
  4. Step 4: Simplify right side
    274,191.88x = 60,312,233,882.25
  5. Step 5: Solve for x
    x = 60,312,233,882.25/274,191.88
  6. Step 6: Final answer
    x = 219,963.60

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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.