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Finding the Fourth Proportional to 265,118.36, 397,689.84 and 75,591.60

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Solution

The fourth proportional to 265,118.36, 397,689.84 and 75,591.60 is: 113,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,118.36 : 397,689.84 = 75,591.60 : x
  2. Step 2: Convert to fraction form
    265,118.36/397,689.84 = 75,591.60/x
  3. Step 3: Cross multiply
    265,118.36x = 397,689.84 × 75,591.60
  4. Step 4: Simplify right side
    265,118.36x = 30,062,011,309.34
  5. Step 5: Solve for x
    x = 30,062,011,309.34/265,118.36
  6. Step 6: Final answer
    x = 113,390.91

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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.