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Finding the Fourth Proportional to 285,586, 394,124.40 and 158,258.80

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Solution

The fourth proportional to 285,586, 394,124.40 and 158,258.80 is: 218,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,586 : 394,124.40 = 158,258.80 : x
  2. Step 2: Convert to fraction form
    285,586/394,124.40 = 158,258.80/x
  3. Step 3: Cross multiply
    285,586x = 394,124.40 × 158,258.80
  4. Step 4: Simplify right side
    285,586x = 62,373,654,594.72
  5. Step 5: Solve for x
    x = 62,373,654,594.72/285,586
  6. Step 6: Final answer
    x = 218,405.86

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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.