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Finding the Fourth Proportional to 465,200.38, 641,974.71 and 261,222.94

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Solution

The fourth proportional to 465,200.38, 641,974.71 and 261,222.94 is: 360,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,200.38 : 641,974.71 = 261,222.94 : x
  2. Step 2: Convert to fraction form
    465,200.38/641,974.71 = 261,222.94/x
  3. Step 3: Cross multiply
    465,200.38x = 641,974.71 × 261,222.94
  4. Step 4: Simplify right side
    465,200.38x = 167,698,521,151.85
  5. Step 5: Solve for x
    x = 167,698,521,151.85/465,200.38
  6. Step 6: Final answer
    x = 360,486.64

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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.