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Finding the Fourth Proportional to 297,388.91, 410,397.06 and 161,422.78

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Solution

The fourth proportional to 297,388.91, 410,397.06 and 161,422.78 is: 222,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,388.91 : 410,397.06 = 161,422.78 : x
  2. Step 2: Convert to fraction form
    297,388.91/410,397.06 = 161,422.78/x
  3. Step 3: Cross multiply
    297,388.91x = 410,397.06 × 161,422.78
  4. Step 4: Simplify right side
    297,388.91x = 66,247,433,303.03
  5. Step 5: Solve for x
    x = 66,247,433,303.03/297,388.91
  6. Step 6: Final answer
    x = 222,763.63

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1.5x scale

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.