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Finding the Fourth Proportional to 299,498.03, 413,315.79 and 163,540.61

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Solution

The fourth proportional to 299,498.03, 413,315.79 and 163,540.61 is: 225,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498.03 : 413,315.79 = 163,540.61 : x
  2. Step 2: Convert to fraction form
    299,498.03/413,315.79 = 163,540.61/x
  3. Step 3: Cross multiply
    299,498.03x = 413,315.79 × 163,540.61
  4. Step 4: Simplify right side
    299,498.03x = 67,593,916,419.23
  5. Step 5: Solve for x
    x = 67,593,916,419.23/299,498.03
  6. Step 6: Final answer
    x = 225,690.69

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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.