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Finding the Fourth Proportional to 274,185.26, 411,480 and 130,091.68

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Solution

The fourth proportional to 274,185.26, 411,480 and 130,091.68 is: 195,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,185.26 : 411,480 = 130,091.68 : x
  2. Step 2: Convert to fraction form
    274,185.26/411,480 = 130,091.68/x
  3. Step 3: Cross multiply
    274,185.26x = 411,480 × 130,091.68
  4. Step 4: Simplify right side
    274,185.26x = 53,530,124,486.40
  5. Step 5: Solve for x
    x = 53,530,124,486.40/274,185.26
  6. Step 6: Final answer
    x = 195,233.41

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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.