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Finding the Fourth Proportional to 561,253.92, 842,213.02 and 206,517.05

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Solution

The fourth proportional to 561,253.92, 842,213.02 and 206,517.05 is: 309,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,253.92 : 842,213.02 = 206,517.05 : x
  2. Step 2: Convert to fraction form
    561,253.92/842,213.02 = 206,517.05/x
  3. Step 3: Cross multiply
    561,253.92x = 842,213.02 × 206,517.05
  4. Step 4: Simplify right side
    561,253.92x = 173,931,348,361.99
  5. Step 5: Solve for x
    x = 173,931,348,361.99/561,253.92
  6. Step 6: Final answer
    x = 309,897.79

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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.