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Finding the Fourth Proportional to 255,754.85, 383,661 and 208,769.90

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Solution

The fourth proportional to 255,754.85, 383,661 and 208,769.90 is: 313,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,754.85 : 383,661 = 208,769.90 : x
  2. Step 2: Convert to fraction form
    255,754.85/383,661 = 208,769.90/x
  3. Step 3: Cross multiply
    255,754.85x = 383,661 × 208,769.90
  4. Step 4: Simplify right side
    255,754.85x = 80,096,866,685.60
  5. Step 5: Solve for x
    x = 80,096,866,685.60/255,754.85
  6. Step 6: Final answer
    x = 313,178.30

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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.