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Finding the Fourth Proportional to 220,415.56, 304,198.98 and 123,646

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Solution

The fourth proportional to 220,415.56, 304,198.98 and 123,646 is: 170,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,415.56 : 304,198.98 = 123,646 : x
  2. Step 2: Convert to fraction form
    220,415.56/304,198.98 = 123,646/x
  3. Step 3: Cross multiply
    220,415.56x = 304,198.98 × 123,646
  4. Step 4: Simplify right side
    220,415.56x = 37,612,987,081.08
  5. Step 5: Solve for x
    x = 37,612,987,081.08/220,415.56
  6. Step 6: Final answer
    x = 170,645.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.