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Finding the Fourth Proportional to 297,311.73, 410,291.27 and 161,345.65

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Solution

The fourth proportional to 297,311.73, 410,291.27 and 161,345.65 is: 222,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,311.73 : 410,291.27 = 161,345.65 : x
  2. Step 2: Convert to fraction form
    297,311.73/410,291.27 = 161,345.65/x
  3. Step 3: Cross multiply
    297,311.73x = 410,291.27 × 161,345.65
  4. Step 4: Simplify right side
    297,311.73x = 66,198,711,647.48
  5. Step 5: Solve for x
    x = 66,198,711,647.48/297,311.73
  6. Step 6: Final answer
    x = 222,657.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.