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Finding the Fourth Proportional to 275,209, 412,832.94 and 108,997

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Solution

The fourth proportional to 275,209, 412,832.94 and 108,997 is: 163,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209 : 412,832.94 = 108,997 : x
  2. Step 2: Convert to fraction form
    275,209/412,832.94 = 108,997/x
  3. Step 3: Cross multiply
    275,209x = 412,832.94 × 108,997
  4. Step 4: Simplify right side
    275,209x = 44,997,551,961.18
  5. Step 5: Solve for x
    x = 44,997,551,961.18/275,209
  6. Step 6: Final answer
    x = 163,503.20

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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.