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Finding the Fourth Proportional to 222,441.40, 306,974.75 and 136,447.80

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Solution

The fourth proportional to 222,441.40, 306,974.75 and 136,447.80 is: 188,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,441.40 : 306,974.75 = 136,447.80 : x
  2. Step 2: Convert to fraction form
    222,441.40/306,974.75 = 136,447.80/x
  3. Step 3: Cross multiply
    222,441.40x = 306,974.75 × 136,447.80
  4. Step 4: Simplify right side
    222,441.40x = 41,886,028,610.81
  5. Step 5: Solve for x
    x = 41,886,028,610.81/222,441.40
  6. Step 6: Final answer
    x = 188,301.41

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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.