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Finding the Fourth Proportional to 379,635, 523,850.82 and 209,846.04

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Solution

The fourth proportional to 379,635, 523,850.82 and 209,846.04 is: 289,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,635 : 523,850.82 = 209,846.04 : x
  2. Step 2: Convert to fraction form
    379,635/523,850.82 = 209,846.04/x
  3. Step 3: Cross multiply
    379,635x = 523,850.82 × 209,846.04
  4. Step 4: Simplify right side
    379,635x = 109,928,020,127.75
  5. Step 5: Solve for x
    x = 109,928,020,127.75/379,635
  6. Step 6: Final answer
    x = 289,562.40

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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.