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Finding the Fourth Proportional to 408,646.11, 563,920.88 and 227,358.39

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Solution

The fourth proportional to 408,646.11, 563,920.88 and 227,358.39 is: 313,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646.11 : 563,920.88 = 227,358.39 : x
  2. Step 2: Convert to fraction form
    408,646.11/563,920.88 = 227,358.39/x
  3. Step 3: Cross multiply
    408,646.11x = 563,920.88 × 227,358.39
  4. Step 4: Simplify right side
    408,646.11x = 128,212,142,227.39
  5. Step 5: Solve for x
    x = 128,212,142,227.39/408,646.11
  6. Step 6: Final answer
    x = 313,748.59

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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.