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Finding the Fourth Proportional to 392,133.45, 588,198.13 and 213,355.33

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Solution

The fourth proportional to 392,133.45, 588,198.13 and 213,355.33 is: 320,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,133.45 : 588,198.13 = 213,355.33 : x
  2. Step 2: Convert to fraction form
    392,133.45/588,198.13 = 213,355.33/x
  3. Step 3: Cross multiply
    392,133.45x = 588,198.13 × 213,355.33
  4. Step 4: Simplify right side
    392,133.45x = 125,495,205,064.76
  5. Step 5: Solve for x
    x = 125,495,205,064.76/392,133.45
  6. Step 6: Final answer
    x = 320,031.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.