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Finding the Fourth Proportional to 255,755.85, 383,662.50 and 208,770.90

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Solution

The fourth proportional to 255,755.85, 383,662.50 and 208,770.90 is: 313,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,755.85 : 383,662.50 = 208,770.90 : x
  2. Step 2: Convert to fraction form
    255,755.85/383,662.50 = 208,770.90/x
  3. Step 3: Cross multiply
    255,755.85x = 383,662.50 × 208,770.90
  4. Step 4: Simplify right side
    255,755.85x = 80,097,565,421.25
  5. Step 5: Solve for x
    x = 80,097,565,421.25/255,755.85
  6. Step 6: Final answer
    x = 313,179.80

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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.