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Finding the Fourth Proportional to 299,489.07, 413,291.79 and 163,522.61

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Solution

The fourth proportional to 299,489.07, 413,291.79 and 163,522.61 is: 225,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,489.07 : 413,291.79 = 163,522.61 : x
  2. Step 2: Convert to fraction form
    299,489.07/413,291.79 = 163,522.61/x
  3. Step 3: Cross multiply
    299,489.07x = 413,291.79 × 163,522.61
  4. Step 4: Simplify right side
    299,489.07x = 67,582,550,125.91
  5. Step 5: Solve for x
    x = 67,582,550,125.91/299,489.07
  6. Step 6: Final answer
    x = 225,659.49

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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.