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Finding the Fourth Proportional to 285,638.13, 394,177.59 and 164,778.03

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Solution

The fourth proportional to 285,638.13, 394,177.59 and 164,778.03 is: 227,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,638.13 : 394,177.59 = 164,778.03 : x
  2. Step 2: Convert to fraction form
    285,638.13/394,177.59 = 164,778.03/x
  3. Step 3: Cross multiply
    285,638.13x = 394,177.59 × 164,778.03
  4. Step 4: Simplify right side
    285,638.13x = 64,951,806,750.35
  5. Step 5: Solve for x
    x = 64,951,806,750.35/285,638.13
  6. Step 6: Final answer
    x = 227,391.93

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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.