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Finding the Fourth Proportional to 427,992,796.62, 641,786,818.20 and 165,800,151.48

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Solution

The fourth proportional to 427,992,796.62, 641,786,818.20 and 165,800,151.48 is: 248,621,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,992,796.62 : 641,786,818.20 = 165,800,151.48 : x
  2. Step 2: Convert to fraction form
    427,992,796.62/641,786,818.20 = 165,800,151.48/x
  3. Step 3: Cross multiply
    427,992,796.62x = 641,786,818.20 × 165,800,151.48
  4. Step 4: Simplify right side
    427,992,796.62x = 106,408,351,675,427,216
  5. Step 5: Solve for x
    x = 106,408,351,675,427,216/427,992,796.62
  6. Step 6: Final answer
    x = 248,621,828.49

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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.