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Finding the Fourth Proportional to 315,609,889.98, 435,469,383.92 and 188,425,815.32

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Solution

The fourth proportional to 315,609,889.98, 435,469,383.92 and 188,425,815.32 is: 259,984,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,609,889.98 : 435,469,383.92 = 188,425,815.32 : x
  2. Step 2: Convert to fraction form
    315,609,889.98/435,469,383.92 = 188,425,815.32/x
  3. Step 3: Cross multiply
    315,609,889.98x = 435,469,383.92 × 188,425,815.32
  4. Step 4: Simplify right side
    315,609,889.98x = 82,053,673,708,904,624
  5. Step 5: Solve for x
    x = 82,053,673,708,904,624/315,609,889.98
  6. Step 6: Final answer
    x = 259,984,481.84

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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.