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Finding the Fourth Proportional to 265,610.80, 397,760.10 and 197,980.66

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Solution

The fourth proportional to 265,610.80, 397,760.10 and 197,980.66 is: 296,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,610.80 : 397,760.10 = 197,980.66 : x
  2. Step 2: Convert to fraction form
    265,610.80/397,760.10 = 197,980.66/x
  3. Step 3: Cross multiply
    265,610.80x = 397,760.10 × 197,980.66
  4. Step 4: Simplify right side
    265,610.80x = 78,748,807,119.67
  5. Step 5: Solve for x
    x = 78,748,807,119.67/265,610.80
  6. Step 6: Final answer
    x = 296,481.95

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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.