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Finding the Fourth Proportional to 222,378.65, 306,882.13 and 120,404.21

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Solution

The fourth proportional to 222,378.65, 306,882.13 and 120,404.21 is: 166,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,378.65 : 306,882.13 = 120,404.21 : x
  2. Step 2: Convert to fraction form
    222,378.65/306,882.13 = 120,404.21/x
  3. Step 3: Cross multiply
    222,378.65x = 306,882.13 × 120,404.21
  4. Step 4: Simplify right side
    222,378.65x = 36,949,900,425.77
  5. Step 5: Solve for x
    x = 36,949,900,425.77/222,378.65
  6. Step 6: Final answer
    x = 166,157.59

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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.