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Finding the Fourth Proportional to 274,496.80, 411,226.80 and 140,922.40

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Solution

The fourth proportional to 274,496.80, 411,226.80 and 140,922.40 is: 211,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,496.80 : 411,226.80 = 140,922.40 : x
  2. Step 2: Convert to fraction form
    274,496.80/411,226.80 = 140,922.40/x
  3. Step 3: Cross multiply
    274,496.80x = 411,226.80 × 140,922.40
  4. Step 4: Simplify right side
    274,496.80x = 57,951,067,600.32
  5. Step 5: Solve for x
    x = 57,951,067,600.32/274,496.80
  6. Step 6: Final answer
    x = 211,117.46

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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.