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Finding the Fourth Proportional to 281,832.20, 422,978.70 and 272,616.20

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Solution

The fourth proportional to 281,832.20, 422,978.70 and 272,616.20 is: 409,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,832.20 : 422,978.70 = 272,616.20 : x
  2. Step 2: Convert to fraction form
    281,832.20/422,978.70 = 272,616.20/x
  3. Step 3: Cross multiply
    281,832.20x = 422,978.70 × 272,616.20
  4. Step 4: Simplify right side
    281,832.20x = 115,310,845,874.94
  5. Step 5: Solve for x
    x = 115,310,845,874.94/281,832.20
  6. Step 6: Final answer
    x = 409,147.17

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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.