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Finding the Fourth Proportional to 255,512.70, 383,433.06 and 171,367.92

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Solution

The fourth proportional to 255,512.70, 383,433.06 and 171,367.92 is: 257,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,512.70 : 383,433.06 = 171,367.92 : x
  2. Step 2: Convert to fraction form
    255,512.70/383,433.06 = 171,367.92/x
  3. Step 3: Cross multiply
    255,512.70x = 383,433.06 × 171,367.92
  4. Step 4: Simplify right side
    255,512.70x = 65,708,125,951.44
  5. Step 5: Solve for x
    x = 65,708,125,951.44/255,512.70
  6. Step 6: Final answer
    x = 257,161.88

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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.