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Finding the Fourth Proportional to 274,493.80, 411,222.30 and 140,919.40

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Solution

The fourth proportional to 274,493.80, 411,222.30 and 140,919.40 is: 211,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,493.80 : 411,222.30 = 140,919.40 : x
  2. Step 2: Convert to fraction form
    274,493.80/411,222.30 = 140,919.40/x
  3. Step 3: Cross multiply
    274,493.80x = 411,222.30 × 140,919.40
  4. Step 4: Simplify right side
    274,493.80x = 57,949,199,782.62
  5. Step 5: Solve for x
    x = 57,949,199,782.62/274,493.80
  6. Step 6: Final answer
    x = 211,112.96

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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.