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Finding the Fourth Proportional to 354,540, 488,988.48 and 227,227.68

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Solution

The fourth proportional to 354,540, 488,988.48 and 227,227.68 is: 313,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,540 : 488,988.48 = 227,227.68 : x
  2. Step 2: Convert to fraction form
    354,540/488,988.48 = 227,227.68/x
  3. Step 3: Cross multiply
    354,540x = 488,988.48 × 227,227.68
  4. Step 4: Simplify right side
    354,540x = 111,111,717,857.13
  5. Step 5: Solve for x
    x = 111,111,717,857.13/354,540
  6. Step 6: Final answer
    x = 313,396.85

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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.