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Finding the Fourth Proportional to 285,540.82, 394,037.80 and 156,477.75

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Solution

The fourth proportional to 285,540.82, 394,037.80 and 156,477.75 is: 215,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,540.82 : 394,037.80 = 156,477.75 : x
  2. Step 2: Convert to fraction form
    285,540.82/394,037.80 = 156,477.75/x
  3. Step 3: Cross multiply
    285,540.82x = 394,037.80 × 156,477.75
  4. Step 4: Simplify right side
    285,540.82x = 61,658,147,967.76
  5. Step 5: Solve for x
    x = 61,658,147,967.76/285,540.82
  6. Step 6: Final answer
    x = 215,934.62

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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.