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Finding the Fourth Proportional to 432,286.80, 648,814.20 and 254,571.60

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Solution

The fourth proportional to 432,286.80, 648,814.20 and 254,571.60 is: 382,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,286.80 : 648,814.20 = 254,571.60 : x
  2. Step 2: Convert to fraction form
    432,286.80/648,814.20 = 254,571.60/x
  3. Step 3: Cross multiply
    432,286.80x = 648,814.20 × 254,571.60
  4. Step 4: Simplify right side
    432,286.80x = 165,169,668,996.72
  5. Step 5: Solve for x
    x = 165,169,668,996.72/432,286.80
  6. Step 6: Final answer
    x = 382,083.54

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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.