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Finding the Fourth Proportional to 418,138.43, 577,031.72 and 227,151.97

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Solution

The fourth proportional to 418,138.43, 577,031.72 and 227,151.97 is: 313,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,138.43 : 577,031.72 = 227,151.97 : x
  2. Step 2: Convert to fraction form
    418,138.43/577,031.72 = 227,151.97/x
  3. Step 3: Cross multiply
    418,138.43x = 577,031.72 × 227,151.97
  4. Step 4: Simplify right side
    418,138.43x = 131,073,889,372.15
  5. Step 5: Solve for x
    x = 131,073,889,372.15/418,138.43
  6. Step 6: Final answer
    x = 313,470.09

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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.