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Finding the Fourth Proportional to 279,894.30, 419,736.96 and 90,307.05

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Solution

The fourth proportional to 279,894.30, 419,736.96 and 90,307.05 is: 135,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,894.30 : 419,736.96 = 90,307.05 : x
  2. Step 2: Convert to fraction form
    279,894.30/419,736.96 = 90,307.05/x
  3. Step 3: Cross multiply
    279,894.30x = 419,736.96 × 90,307.05
  4. Step 4: Simplify right side
    279,894.30x = 37,905,206,633.57
  5. Step 5: Solve for x
    x = 37,905,206,633.57/279,894.30
  6. Step 6: Final answer
    x = 135,426.86

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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.