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Finding the Fourth Proportional to 274,337.76, 378,596.88 and 161,159.52

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Solution

The fourth proportional to 274,337.76, 378,596.88 and 161,159.52 is: 222,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,337.76 : 378,596.88 = 161,159.52 : x
  2. Step 2: Convert to fraction form
    274,337.76/378,596.88 = 161,159.52/x
  3. Step 3: Cross multiply
    274,337.76x = 378,596.88 × 161,159.52
  4. Step 4: Simplify right side
    274,337.76x = 61,014,491,454.30
  5. Step 5: Solve for x
    x = 61,014,491,454.30/274,337.76
  6. Step 6: Final answer
    x = 222,406.47

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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.