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Finding the Fourth Proportional to 299,690.49, 413,565.96 and 163,725

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Solution

The fourth proportional to 299,690.49, 413,565.96 and 163,725 is: 225,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,690.49 : 413,565.96 = 163,725 : x
  2. Step 2: Convert to fraction form
    299,690.49/413,565.96 = 163,725/x
  3. Step 3: Cross multiply
    299,690.49x = 413,565.96 × 163,725
  4. Step 4: Simplify right side
    299,690.49x = 67,711,086,801
  5. Step 5: Solve for x
    x = 67,711,086,801/299,690.49
  6. Step 6: Final answer
    x = 225,936.72

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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.