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Finding the Fourth Proportional to 418,065.30, 576,912.98 and 227,074.59

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Solution

The fourth proportional to 418,065.30, 576,912.98 and 227,074.59 is: 313,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,065.30 : 576,912.98 = 227,074.59 : x
  2. Step 2: Convert to fraction form
    418,065.30/576,912.98 = 227,074.59/x
  3. Step 3: Cross multiply
    418,065.30x = 576,912.98 × 227,074.59
  4. Step 4: Simplify right side
    418,065.30x = 131,002,278,966.87
  5. Step 5: Solve for x
    x = 131,002,278,966.87/418,065.30
  6. Step 6: Final answer
    x = 313,353.63

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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.