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Finding the Fourth Proportional to 379,469.81, 523,647.72 and 209,693

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Solution

The fourth proportional to 379,469.81, 523,647.72 and 209,693 is: 289,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,469.81 : 523,647.72 = 209,693 : x
  2. Step 2: Convert to fraction form
    379,469.81/523,647.72 = 209,693/x
  3. Step 3: Cross multiply
    379,469.81x = 523,647.72 × 209,693
  4. Step 4: Simplify right side
    379,469.81x = 109,805,261,349.96
  5. Step 5: Solve for x
    x = 109,805,261,349.96/379,469.81
  6. Step 6: Final answer
    x = 289,364.95

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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.