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Finding the Fourth Proportional to 271,296,989.70, 406,945,484.55 and 260,715,408.90

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Solution

The fourth proportional to 271,296,989.70, 406,945,484.55 and 260,715,408.90 is: 391,073,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296,989.70 : 406,945,484.55 = 260,715,408.90 : x
  2. Step 2: Convert to fraction form
    271,296,989.70/406,945,484.55 = 260,715,408.90/x
  3. Step 3: Cross multiply
    271,296,989.70x = 406,945,484.55 × 260,715,408.90
  4. Step 4: Simplify right side
    271,296,989.70x = 106,096,958,404,461,888
  5. Step 5: Solve for x
    x = 106,096,958,404,461,888/271,296,989.70
  6. Step 6: Final answer
    x = 391,073,113.35

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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.