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Finding the Fourth Proportional to 201,408,008.80, 302,236,429.20 and 80,226,824.80

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Solution

The fourth proportional to 201,408,008.80, 302,236,429.20 and 80,226,824.80 is: 120,389,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408,008.80 : 302,236,429.20 = 80,226,824.80 : x
  2. Step 2: Convert to fraction form
    201,408,008.80/302,236,429.20 = 80,226,824.80/x
  3. Step 3: Cross multiply
    201,408,008.80x = 302,236,429.20 × 80,226,824.80
  4. Step 4: Simplify right side
    201,408,008.80x = 24,247,469,053,606,004
  5. Step 5: Solve for x
    x = 24,247,469,053,606,004/201,408,008.80
  6. Step 6: Final answer
    x = 120,389,795.81

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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.