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Finding the Fourth Proportional to 265,891.68, 398,986.56 and 141,229.44

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Solution

The fourth proportional to 265,891.68, 398,986.56 and 141,229.44 is: 211,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,891.68 : 398,986.56 = 141,229.44 : x
  2. Step 2: Convert to fraction form
    265,891.68/398,986.56 = 141,229.44/x
  3. Step 3: Cross multiply
    265,891.68x = 398,986.56 × 141,229.44
  4. Step 4: Simplify right side
    265,891.68x = 56,348,648,436.33
  5. Step 5: Solve for x
    x = 56,348,648,436.33/265,891.68
  6. Step 6: Final answer
    x = 211,923.32

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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.