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Finding the Fourth Proportional to 255,676.35, 383,514.43 and 78,183.35

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Solution

The fourth proportional to 255,676.35, 383,514.43 and 78,183.35 is: 117,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,676.35 : 383,514.43 = 78,183.35 : x
  2. Step 2: Convert to fraction form
    255,676.35/383,514.43 = 78,183.35/x
  3. Step 3: Cross multiply
    255,676.35x = 383,514.43 × 78,183.35
  4. Step 4: Simplify right side
    255,676.35x = 29,984,442,910.74
  5. Step 5: Solve for x
    x = 29,984,442,910.74/255,676.35
  6. Step 6: Final answer
    x = 117,275.00

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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.