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Finding the Fourth Proportional to 408,397, 563,587.14 and 227,103.88

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Solution

The fourth proportional to 408,397, 563,587.14 and 227,103.88 is: 313,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,397 : 563,587.14 = 227,103.88 : x
  2. Step 2: Convert to fraction form
    408,397/563,587.14 = 227,103.88/x
  3. Step 3: Cross multiply
    408,397x = 563,587.14 × 227,103.88
  4. Step 4: Simplify right side
    408,397x = 127,992,826,212.10
  5. Step 5: Solve for x
    x = 127,992,826,212.10/408,397
  6. Step 6: Final answer
    x = 313,402.95

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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.