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Finding the Fourth Proportional to 318,978,375.40, 478,467,563.10 and 271,361,261.80

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Solution

The fourth proportional to 318,978,375.40, 478,467,563.10 and 271,361,261.80 is: 407,041,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,978,375.40 : 478,467,563.10 = 271,361,261.80 : x
  2. Step 2: Convert to fraction form
    318,978,375.40/478,467,563.10 = 271,361,261.80/x
  3. Step 3: Cross multiply
    318,978,375.40x = 478,467,563.10 × 271,361,261.80
  4. Step 4: Simplify right side
    318,978,375.40x = 129,837,561,653,187,136
  5. Step 5: Solve for x
    x = 129,837,561,653,187,136/318,978,375.40
  6. Step 6: Final answer
    x = 407,041,892.70

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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.