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Finding the Fourth Proportional to 408,788.09, 564,154.10 and 227,499.49

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Solution

The fourth proportional to 408,788.09, 564,154.10 and 227,499.49 is: 313,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,788.09 : 564,154.10 = 227,499.49 : x
  2. Step 2: Convert to fraction form
    408,788.09/564,154.10 = 227,499.49/x
  3. Step 3: Cross multiply
    408,788.09x = 564,154.10 × 227,499.49
  4. Step 4: Simplify right side
    408,788.09x = 128,344,770,031.41
  5. Step 5: Solve for x
    x = 128,344,770,031.41/408,788.09
  6. Step 6: Final answer
    x = 313,964.06

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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.