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Finding the Fourth Proportional to 261,954.56, 393,004.32 and 104,293.68

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Solution

The fourth proportional to 261,954.56, 393,004.32 and 104,293.68 is: 156,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,954.56 : 393,004.32 = 104,293.68 : x
  2. Step 2: Convert to fraction form
    261,954.56/393,004.32 = 104,293.68/x
  3. Step 3: Cross multiply
    261,954.56x = 393,004.32 × 104,293.68
  4. Step 4: Simplify right side
    261,954.56x = 40,987,866,788.70
  5. Step 5: Solve for x
    x = 40,987,866,788.70/261,954.56
  6. Step 6: Final answer
    x = 156,469.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.