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Finding the Fourth Proportional to 379,635.50, 523,851.51 and 209,846.54

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Solution

The fourth proportional to 379,635.50, 523,851.51 and 209,846.54 is: 289,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,635.50 : 523,851.51 = 209,846.54 : x
  2. Step 2: Convert to fraction form
    379,635.50/523,851.51 = 209,846.54/x
  3. Step 3: Cross multiply
    379,635.50x = 523,851.51 × 209,846.54
  4. Step 4: Simplify right side
    379,635.50x = 109,928,426,847.28
  5. Step 5: Solve for x
    x = 109,928,426,847.28/379,635.50
  6. Step 6: Final answer
    x = 289,563.09

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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.