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Finding the Fourth Proportional to 222,364.20, 306,863.10 and 120,390.78

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Solution

The fourth proportional to 222,364.20, 306,863.10 and 120,390.78 is: 166,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,364.20 : 306,863.10 = 120,390.78 : x
  2. Step 2: Convert to fraction form
    222,364.20/306,863.10 = 120,390.78/x
  3. Step 3: Cross multiply
    222,364.20x = 306,863.10 × 120,390.78
  4. Step 4: Simplify right side
    222,364.20x = 36,943,487,962.22
  5. Step 5: Solve for x
    x = 36,943,487,962.22/222,364.20
  6. Step 6: Final answer
    x = 166,139.55

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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.