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Finding the Fourth Proportional to 265,335.40, 397,469.58 and 131,811.40

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Solution

The fourth proportional to 265,335.40, 397,469.58 and 131,811.40 is: 197,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,335.40 : 397,469.58 = 131,811.40 : x
  2. Step 2: Convert to fraction form
    265,335.40/397,469.58 = 131,811.40/x
  3. Step 3: Cross multiply
    265,335.40x = 397,469.58 × 131,811.40
  4. Step 4: Simplify right side
    265,335.40x = 52,391,021,797.21
  5. Step 5: Solve for x
    x = 52,391,021,797.21/265,335.40
  6. Step 6: Final answer
    x = 197,452.06

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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.