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Finding the Fourth Proportional to 265,906.75, 398,636.40 and 123,679.75

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Solution

The fourth proportional to 265,906.75, 398,636.40 and 123,679.75 is: 185,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,906.75 : 398,636.40 = 123,679.75 : x
  2. Step 2: Convert to fraction form
    265,906.75/398,636.40 = 123,679.75/x
  3. Step 3: Cross multiply
    265,906.75x = 398,636.40 × 123,679.75
  4. Step 4: Simplify right side
    265,906.75x = 49,303,250,292.90
  5. Step 5: Solve for x
    x = 49,303,250,292.90/265,906.75
  6. Step 6: Final answer
    x = 185,415.57

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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.