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Finding the Fourth Proportional to 313,383.80, 469,881.30 and 180,198.20

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Solution

The fourth proportional to 313,383.80, 469,881.30 and 180,198.20 is: 270,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,383.80 : 469,881.30 = 180,198.20 : x
  2. Step 2: Convert to fraction form
    313,383.80/469,881.30 = 180,198.20/x
  3. Step 3: Cross multiply
    313,383.80x = 469,881.30 × 180,198.20
  4. Step 4: Simplify right side
    313,383.80x = 84,671,764,473.66
  5. Step 5: Solve for x
    x = 84,671,764,473.66/313,383.80
  6. Step 6: Final answer
    x = 270,185.52

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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.