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Finding the Fourth Proportional to 427,992,790.86, 641,786,809.58 and 165,800,145.72

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Solution

The fourth proportional to 427,992,790.86, 641,786,809.58 and 165,800,145.72 is: 248,621,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,992,790.86 : 641,786,809.58 = 165,800,145.72 : x
  2. Step 2: Convert to fraction form
    427,992,790.86/641,786,809.58 = 165,800,145.72/x
  3. Step 3: Cross multiply
    427,992,790.86x = 641,786,809.58 × 165,800,145.72
  4. Step 4: Simplify right side
    427,992,790.86x = 106,408,346,546,743,456
  5. Step 5: Solve for x
    x = 106,408,346,546,743,456/427,992,790.86
  6. Step 6: Final answer
    x = 248,621,819.85

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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.