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Finding the Fourth Proportional to 375,711.22, 518,494.77 and 205,945.30

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Solution

The fourth proportional to 375,711.22, 518,494.77 and 205,945.30 is: 284,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,711.22 : 518,494.77 = 205,945.30 : x
  2. Step 2: Convert to fraction form
    375,711.22/518,494.77 = 205,945.30/x
  3. Step 3: Cross multiply
    375,711.22x = 518,494.77 × 205,945.30
  4. Step 4: Simplify right side
    375,711.22x = 106,781,560,956.08
  5. Step 5: Solve for x
    x = 106,781,560,956.08/375,711.22
  6. Step 6: Final answer
    x = 284,211.80

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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.