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Finding the Fourth Proportional to 395,137,530, 545,289,791.40 and 221,297,274

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Solution

The fourth proportional to 395,137,530, 545,289,791.40 and 221,297,274 is: 305,390,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,137,530 : 545,289,791.40 = 221,297,274 : x
  2. Step 2: Convert to fraction form
    395,137,530/545,289,791.40 = 221,297,274/x
  3. Step 3: Cross multiply
    395,137,530x = 545,289,791.40 × 221,297,274
  4. Step 4: Simplify right side
    395,137,530x = 120,671,144,376,848,640
  5. Step 5: Solve for x
    x = 120,671,144,376,848,640/395,137,530
  6. Step 6: Final answer
    x = 305,390,238.12

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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.