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Finding the Fourth Proportional to 285,579.91, 394,116.86 and 164,726.29

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Solution

The fourth proportional to 285,579.91, 394,116.86 and 164,726.29 is: 227,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,579.91 : 394,116.86 = 164,726.29 : x
  2. Step 2: Convert to fraction form
    285,579.91/394,116.86 = 164,726.29/x
  3. Step 3: Cross multiply
    285,579.91x = 394,116.86 × 164,726.29
  4. Step 4: Simplify right side
    285,579.91x = 64,921,408,174.25
  5. Step 5: Solve for x
    x = 64,921,408,174.25/285,579.91
  6. Step 6: Final answer
    x = 227,331.85

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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.