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Finding the Fourth Proportional to 561,872.35, 842,414.82 and 206,840.17

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Solution

The fourth proportional to 561,872.35, 842,414.82 and 206,840.17 is: 310,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,872.35 : 842,414.82 = 206,840.17 : x
  2. Step 2: Convert to fraction form
    561,872.35/842,414.82 = 206,840.17/x
  3. Step 3: Cross multiply
    561,872.35x = 842,414.82 × 206,840.17
  4. Step 4: Simplify right side
    561,872.35x = 174,245,224,579.32
  5. Step 5: Solve for x
    x = 174,245,224,579.32/561,872.35
  6. Step 6: Final answer
    x = 310,115.32

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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.