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Finding the Fourth Proportional to 290,942,314.92, 401,509,762.92 and 165,491,295.30

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Solution

The fourth proportional to 290,942,314.92, 401,509,762.92 and 165,491,295.30 is: 228,383,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,942,314.92 : 401,509,762.92 = 165,491,295.30 : x
  2. Step 2: Convert to fraction form
    290,942,314.92/401,509,762.92 = 165,491,295.30/x
  3. Step 3: Cross multiply
    290,942,314.92x = 401,509,762.92 × 165,491,295.30
  4. Step 4: Simplify right side
    290,942,314.92x = 66,446,370,741,226,720
  5. Step 5: Solve for x
    x = 66,446,370,741,226,720/290,942,314.92
  6. Step 6: Final answer
    x = 228,383,316.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.