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Finding the Fourth Proportional to 265,178.26, 397,403.79 and 140,269.78

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Solution

The fourth proportional to 265,178.26, 397,403.79 and 140,269.78 is: 210,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,178.26 : 397,403.79 = 140,269.78 : x
  2. Step 2: Convert to fraction form
    265,178.26/397,403.79 = 140,269.78/x
  3. Step 3: Cross multiply
    265,178.26x = 397,403.79 × 140,269.78
  4. Step 4: Simplify right side
    265,178.26x = 55,743,742,194.47
  5. Step 5: Solve for x
    x = 55,743,742,194.47/265,178.26
  6. Step 6: Final answer
    x = 210,212.34

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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.