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Finding the Fourth Proportional to 298,495.94, 411,791.31 and 201,668.67

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Solution

The fourth proportional to 298,495.94, 411,791.31 and 201,668.67 is: 278,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,495.94 : 411,791.31 = 201,668.67 : x
  2. Step 2: Convert to fraction form
    298,495.94/411,791.31 = 201,668.67/x
  3. Step 3: Cross multiply
    298,495.94x = 411,791.31 × 201,668.67
  4. Step 4: Simplify right side
    298,495.94x = 83,045,405,805.26
  5. Step 5: Solve for x
    x = 83,045,405,805.26/298,495.94
  6. Step 6: Final answer
    x = 278,212.85

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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.