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Finding the Fourth Proportional to 418,678.56, 577,760.31 and 227,692.17

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Solution

The fourth proportional to 418,678.56, 577,760.31 and 227,692.17 is: 314,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,678.56 : 577,760.31 = 227,692.17 : x
  2. Step 2: Convert to fraction form
    418,678.56/577,760.31 = 227,692.17/x
  3. Step 3: Cross multiply
    418,678.56x = 577,760.31 × 227,692.17
  4. Step 4: Simplify right side
    418,678.56x = 131,551,498,723.77
  5. Step 5: Solve for x
    x = 131,551,498,723.77/418,678.56
  6. Step 6: Final answer
    x = 314,206.44

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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.