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Finding the Fourth Proportional to 257,269.34, 386,257.49 and 130,994.42

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Solution

The fourth proportional to 257,269.34, 386,257.49 and 130,994.42 is: 196,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,269.34 : 386,257.49 = 130,994.42 : x
  2. Step 2: Convert to fraction form
    257,269.34/386,257.49 = 130,994.42/x
  3. Step 3: Cross multiply
    257,269.34x = 386,257.49 × 130,994.42
  4. Step 4: Simplify right side
    257,269.34x = 50,597,576,183.88
  5. Step 5: Solve for x
    x = 50,597,576,183.88/257,269.34
  6. Step 6: Final answer
    x = 196,671.61

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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.