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Finding the Fourth Proportional to 304,976.76, 420,855.78 and 169,016.52

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Solution

The fourth proportional to 304,976.76, 420,855.78 and 169,016.52 is: 233,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,976.76 : 420,855.78 = 169,016.52 : x
  2. Step 2: Convert to fraction form
    304,976.76/420,855.78 = 169,016.52/x
  3. Step 3: Cross multiply
    304,976.76x = 420,855.78 × 169,016.52
  4. Step 4: Simplify right side
    304,976.76x = 71,131,579,357.49
  5. Step 5: Solve for x
    x = 71,131,579,357.49/304,976.76
  6. Step 6: Final answer
    x = 233,236.06

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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.