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Finding the Fourth Proportional to 255,512,522.80, 383,324,771.40 and 82,959,972.40

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Solution

The fourth proportional to 255,512,522.80, 383,324,771.40 and 82,959,972.40 is: 124,458,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,512,522.80 : 383,324,771.40 = 82,959,972.40 : x
  2. Step 2: Convert to fraction form
    255,512,522.80/383,324,771.40 = 82,959,972.40/x
  3. Step 3: Cross multiply
    255,512,522.80x = 383,324,771.40 × 82,959,972.40
  4. Step 4: Simplify right side
    255,512,522.80x = 31,800,612,455,580,308
  5. Step 5: Solve for x
    x = 31,800,612,455,580,308/255,512,522.80
  6. Step 6: Final answer
    x = 124,458,136.56

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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.