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Finding the Fourth Proportional to 255,638,512.60, 383,457,768.90 and 214,823,843.80

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Solution

The fourth proportional to 255,638,512.60, 383,457,768.90 and 214,823,843.80 is: 322,235,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,638,512.60 : 383,457,768.90 = 214,823,843.80 : x
  2. Step 2: Convert to fraction form
    255,638,512.60/383,457,768.90 = 214,823,843.80/x
  3. Step 3: Cross multiply
    255,638,512.60x = 383,457,768.90 × 214,823,843.80
  4. Step 4: Simplify right side
    255,638,512.60x = 82,375,871,850,070,096
  5. Step 5: Solve for x
    x = 82,375,871,850,070,096/255,638,512.60
  6. Step 6: Final answer
    x = 322,235,765.70

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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.