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Finding the Fourth Proportional to 285,859.30, 394,433.68 and 164,956.48

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Solution

The fourth proportional to 285,859.30, 394,433.68 and 164,956.48 is: 227,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,859.30 : 394,433.68 = 164,956.48 : x
  2. Step 2: Convert to fraction form
    285,859.30/394,433.68 = 164,956.48/x
  3. Step 3: Cross multiply
    285,859.30x = 394,433.68 × 164,956.48
  4. Step 4: Simplify right side
    285,859.30x = 65,064,391,446.25
  5. Step 5: Solve for x
    x = 65,064,391,446.25/285,859.30
  6. Step 6: Final answer
    x = 227,609.85

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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.