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Finding the Fourth Proportional to 220,622.29, 330,966.24 and 102,305.59

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Solution

The fourth proportional to 220,622.29, 330,966.24 and 102,305.59 is: 153,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,622.29 : 330,966.24 = 102,305.59 : x
  2. Step 2: Convert to fraction form
    220,622.29/330,966.24 = 102,305.59/x
  3. Step 3: Cross multiply
    220,622.29x = 330,966.24 × 102,305.59
  4. Step 4: Simplify right side
    220,622.29x = 33,859,694,286.92
  5. Step 5: Solve for x
    x = 33,859,694,286.92/220,622.29
  6. Step 6: Final answer
    x = 153,473.59

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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.