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Finding the Fourth Proportional to 418,138.64, 577,031.82 and 227,152.04

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Solution

The fourth proportional to 418,138.64, 577,031.82 and 227,152.04 is: 313,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,138.64 : 577,031.82 = 227,152.04 : x
  2. Step 2: Convert to fraction form
    418,138.64/577,031.82 = 227,152.04/x
  3. Step 3: Cross multiply
    418,138.64x = 577,031.82 × 227,152.04
  4. Step 4: Simplify right side
    418,138.64x = 131,073,955,057.91
  5. Step 5: Solve for x
    x = 131,073,955,057.91/418,138.64
  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.