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Finding the Fourth Proportional to 356,692.80, 491,832.96 and 227,458.56

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Solution

The fourth proportional to 356,692.80, 491,832.96 and 227,458.56 is: 313,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,692.80 : 491,832.96 = 227,458.56 : x
  2. Step 2: Convert to fraction form
    356,692.80/491,832.96 = 227,458.56/x
  3. Step 3: Cross multiply
    356,692.80x = 491,832.96 × 227,458.56
  4. Step 4: Simplify right side
    356,692.80x = 111,871,616,842.14
  5. Step 5: Solve for x
    x = 111,871,616,842.14/356,692.80
  6. Step 6: Final answer
    x = 313,635.76

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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.