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Finding the Fourth Proportional to 222,393.66, 306,903.83 and 120,419.31

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Solution

The fourth proportional to 222,393.66, 306,903.83 and 120,419.31 is: 166,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,393.66 : 306,903.83 = 120,419.31 : x
  2. Step 2: Convert to fraction form
    222,393.66/306,903.83 = 120,419.31/x
  3. Step 3: Cross multiply
    222,393.66x = 306,903.83 × 120,419.31
  4. Step 4: Simplify right side
    222,393.66x = 36,957,147,444.96
  5. Step 5: Solve for x
    x = 36,957,147,444.96/222,393.66
  6. Step 6: Final answer
    x = 166,178.96

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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.