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Finding the Fourth Proportional to 271,857,998.80, 407,786,998.20 and 80,381,774.80

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Solution

The fourth proportional to 271,857,998.80, 407,786,998.20 and 80,381,774.80 is: 120,572,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,857,998.80 : 407,786,998.20 = 80,381,774.80 : x
  2. Step 2: Convert to fraction form
    271,857,998.80/407,786,998.20 = 80,381,774.80/x
  3. Step 3: Cross multiply
    271,857,998.80x = 407,786,998.20 × 80,381,774.80
  4. Step 4: Simplify right side
    271,857,998.80x = 32,778,642,655,680,404
  5. Step 5: Solve for x
    x = 32,778,642,655,680,404/271,857,998.80
  6. Step 6: Final answer
    x = 120,572,662.20

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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.