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Finding the Fourth Proportional to 222,284.80, 306,750.96 and 120,308.20

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Solution

The fourth proportional to 222,284.80, 306,750.96 and 120,308.20 is: 166,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,284.80 : 306,750.96 = 120,308.20 : x
  2. Step 2: Convert to fraction form
    222,284.80/306,750.96 = 120,308.20/x
  3. Step 3: Cross multiply
    222,284.80x = 306,750.96 × 120,308.20
  4. Step 4: Simplify right side
    222,284.80x = 36,904,655,845.87
  5. Step 5: Solve for x
    x = 36,904,655,845.87/222,284.80
  6. Step 6: Final answer
    x = 166,024.20

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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.