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Finding the Fourth Proportional to 379,673.52, 523,960.38 and 209,918.56

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Solution

The fourth proportional to 379,673.52, 523,960.38 and 209,918.56 is: 289,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,673.52 : 523,960.38 = 209,918.56 : x
  2. Step 2: Convert to fraction form
    379,673.52/523,960.38 = 209,918.56/x
  3. Step 3: Cross multiply
    379,673.52x = 523,960.38 × 209,918.56
  4. Step 4: Simplify right side
    379,673.52x = 109,989,008,466.65
  5. Step 5: Solve for x
    x = 109,989,008,466.65/379,673.52
  6. Step 6: Final answer
    x = 289,693.65

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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.