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Finding the Fourth Proportional to 281,294.64, 422,099.78 and 279,158.27

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Solution

The fourth proportional to 281,294.64, 422,099.78 and 279,158.27 is: 418,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,294.64 : 422,099.78 = 279,158.27 : x
  2. Step 2: Convert to fraction form
    281,294.64/422,099.78 = 279,158.27/x
  3. Step 3: Cross multiply
    281,294.64x = 422,099.78 × 279,158.27
  4. Step 4: Simplify right side
    281,294.64x = 117,832,640,845.89
  5. Step 5: Solve for x
    x = 117,832,640,845.89/281,294.64
  6. Step 6: Final answer
    x = 418,894.01

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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.