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Finding the Fourth Proportional to 379,408.67, 523,580.24 and 209,639.15

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Solution

The fourth proportional to 379,408.67, 523,580.24 and 209,639.15 is: 289,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,408.67 : 523,580.24 = 209,639.15 : x
  2. Step 2: Convert to fraction form
    379,408.67/523,580.24 = 209,639.15/x
  3. Step 3: Cross multiply
    379,408.67x = 523,580.24 × 209,639.15
  4. Step 4: Simplify right side
    379,408.67x = 109,762,914,376.59
  5. Step 5: Solve for x
    x = 109,762,914,376.59/379,408.67
  6. Step 6: Final answer
    x = 289,299.97

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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.