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Finding the Fourth Proportional to 271,640,520.85, 407,460,781.28 and 271,640,520.85

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Solution

The fourth proportional to 271,640,520.85, 407,460,781.28 and 271,640,520.85 is: 407,460,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,640,520.85 : 407,460,781.28 = 271,640,520.85 : x
  2. Step 2: Convert to fraction form
    271,640,520.85/407,460,781.28 = 271,640,520.85/x
  3. Step 3: Cross multiply
    271,640,520.85x = 407,460,781.28 × 271,640,520.85
  4. Step 4: Simplify right side
    271,640,520.85x = 110,682,858,852,847,136
  5. Step 5: Solve for x
    x = 110,682,858,852,847,136/271,640,520.85
  6. Step 6: Final answer
    x = 407,460,781.28

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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.