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Finding the Fourth Proportional to 304,965.90, 420,853.94 and 169,002.09

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Solution

The fourth proportional to 304,965.90, 420,853.94 and 169,002.09 is: 233,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,965.90 : 420,853.94 = 169,002.09 : x
  2. Step 2: Convert to fraction form
    304,965.90/420,853.94 = 169,002.09/x
  3. Step 3: Cross multiply
    304,965.90x = 420,853.94 × 169,002.09
  4. Step 4: Simplify right side
    304,965.90x = 71,125,195,444.73
  5. Step 5: Solve for x
    x = 71,125,195,444.73/304,965.90
  6. Step 6: Final answer
    x = 233,223.44

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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.