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Finding the Fourth Proportional to 265,252, 398,043.84 and 107,481.28

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Solution

The fourth proportional to 265,252, 398,043.84 and 107,481.28 is: 161,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,252 : 398,043.84 = 107,481.28 : x
  2. Step 2: Convert to fraction form
    265,252/398,043.84 = 107,481.28/x
  3. Step 3: Cross multiply
    265,252x = 398,043.84 × 107,481.28
  4. Step 4: Simplify right side
    265,252x = 42,782,261,419.32
  5. Step 5: Solve for x
    x = 42,782,261,419.32/265,252
  6. Step 6: Final answer
    x = 161,289.12

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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.