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Finding the Fourth Proportional to 371,679.38, 512,876.41 and 206,103.18

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Solution

The fourth proportional to 371,679.38, 512,876.41 and 206,103.18 is: 284,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,679.38 : 512,876.41 = 206,103.18 : x
  2. Step 2: Convert to fraction form
    371,679.38/512,876.41 = 206,103.18/x
  3. Step 3: Cross multiply
    371,679.38x = 512,876.41 × 206,103.18
  4. Step 4: Simplify right side
    371,679.38x = 105,705,460,890.76
  5. Step 5: Solve for x
    x = 105,705,460,890.76/371,679.38
  6. Step 6: Final answer
    x = 284,399.58

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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.