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Finding the Fourth Proportional to 297,398.63, 410,398.98 and 161,429.65

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Solution

The fourth proportional to 297,398.63, 410,398.98 and 161,429.65 is: 222,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,398.63 : 410,398.98 = 161,429.65 : x
  2. Step 2: Convert to fraction form
    297,398.63/410,398.98 = 161,429.65/x
  3. Step 3: Cross multiply
    297,398.63x = 410,398.98 × 161,429.65
  4. Step 4: Simplify right side
    297,398.63x = 66,250,561,947.30
  5. Step 5: Solve for x
    x = 66,250,561,947.30/297,398.63
  6. Step 6: Final answer
    x = 222,766.87

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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.