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Finding the Fourth Proportional to 285,201.60, 427,658.24 and 166,908.48

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Solution

The fourth proportional to 285,201.60, 427,658.24 and 166,908.48 is: 250,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,201.60 : 427,658.24 = 166,908.48 : x
  2. Step 2: Convert to fraction form
    285,201.60/427,658.24 = 166,908.48/x
  3. Step 3: Cross multiply
    285,201.60x = 427,658.24 × 166,908.48
  4. Step 4: Simplify right side
    285,201.60x = 71,379,786,797.88
  5. Step 5: Solve for x
    x = 71,379,786,797.88/285,201.60
  6. Step 6: Final answer
    x = 250,278.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.