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Finding the Fourth Proportional to 274,245.12, 378,461.16 and 161,069.76

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Solution

The fourth proportional to 274,245.12, 378,461.16 and 161,069.76 is: 222,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,245.12 : 378,461.16 = 161,069.76 : x
  2. Step 2: Convert to fraction form
    274,245.12/378,461.16 = 161,069.76/x
  3. Step 3: Cross multiply
    274,245.12x = 378,461.16 × 161,069.76
  4. Step 4: Simplify right side
    274,245.12x = 60,958,648,210.52
  5. Step 5: Solve for x
    x = 60,958,648,210.52/274,245.12
  6. Step 6: Final answer
    x = 222,277.97

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1.5x scale

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.