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Finding the Fourth Proportional to 297,021.98, 409,889.88 and 161,055.68

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Solution

The fourth proportional to 297,021.98, 409,889.88 and 161,055.68 is: 222,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,021.98 : 409,889.88 = 161,055.68 : x
  2. Step 2: Convert to fraction form
    297,021.98/409,889.88 = 161,055.68/x
  3. Step 3: Cross multiply
    297,021.98x = 409,889.88 × 161,055.68
  4. Step 4: Simplify right side
    297,021.98x = 66,015,093,348.52
  5. Step 5: Solve for x
    x = 66,015,093,348.52/297,021.98
  6. Step 6: Final answer
    x = 222,256.59

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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.