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Finding the Fourth Proportional to 285,843.11, 394,460.80 and 156,778.95

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Solution

The fourth proportional to 285,843.11, 394,460.80 and 156,778.95 is: 216,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,843.11 : 394,460.80 = 156,778.95 : x
  2. Step 2: Convert to fraction form
    285,843.11/394,460.80 = 156,778.95/x
  3. Step 3: Cross multiply
    285,843.11x = 394,460.80 × 156,778.95
  4. Step 4: Simplify right side
    285,843.11x = 61,843,150,040.16
  5. Step 5: Solve for x
    x = 61,843,150,040.16/285,843.11
  6. Step 6: Final answer
    x = 216,353.47

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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.