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Finding the Fourth Proportional to 255,714.85, 383,558.46 and 78,221.88

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Solution

The fourth proportional to 255,714.85, 383,558.46 and 78,221.88 is: 117,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.85 : 383,558.46 = 78,221.88 : x
  2. Step 2: Convert to fraction form
    255,714.85/383,558.46 = 78,221.88/x
  3. Step 3: Cross multiply
    255,714.85x = 383,558.46 × 78,221.88
  4. Step 4: Simplify right side
    255,714.85x = 30,002,661,913.31
  5. Step 5: Solve for x
    x = 30,002,661,913.31/255,714.85
  6. Step 6: Final answer
    x = 117,328.59

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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.