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Finding the Fourth Proportional to 222,423.54, 306,945.32 and 120,449.06

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Solution

The fourth proportional to 222,423.54, 306,945.32 and 120,449.06 is: 166,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,423.54 : 306,945.32 = 120,449.06 : x
  2. Step 2: Convert to fraction form
    222,423.54/306,945.32 = 120,449.06/x
  3. Step 3: Cross multiply
    222,423.54x = 306,945.32 × 120,449.06
  4. Step 4: Simplify right side
    222,423.54x = 36,971,275,265.40
  5. Step 5: Solve for x
    x = 36,971,275,265.40/222,423.54
  6. Step 6: Final answer
    x = 166,220.15

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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.