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Finding the Fourth Proportional to 285,074.60, 393,231.90 and 188,278.64

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Solution

The fourth proportional to 285,074.60, 393,231.90 and 188,278.64 is: 259,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,074.60 : 393,231.90 = 188,278.64 : x
  2. Step 2: Convert to fraction form
    285,074.60/393,231.90 = 188,278.64/x
  3. Step 3: Cross multiply
    285,074.60x = 393,231.90 × 188,278.64
  4. Step 4: Simplify right side
    285,074.60x = 74,037,167,336.62
  5. Step 5: Solve for x
    x = 74,037,167,336.62/285,074.60
  6. Step 6: Final answer
    x = 259,711.55

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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.