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Finding the Fourth Proportional to 381,022.56, 525,794.22 and 208,942.20

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Solution

The fourth proportional to 381,022.56, 525,794.22 and 208,942.20 is: 288,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,022.56 : 525,794.22 = 208,942.20 : x
  2. Step 2: Convert to fraction form
    381,022.56/525,794.22 = 208,942.20/x
  3. Step 3: Cross multiply
    381,022.56x = 525,794.22 × 208,942.20
  4. Step 4: Simplify right side
    381,022.56x = 109,860,601,074.08
  5. Step 5: Solve for x
    x = 109,860,601,074.08/381,022.56
  6. Step 6: Final answer
    x = 288,330.96

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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.