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Finding the Fourth Proportional to 396,586, 547,297.32 and 217,738

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Solution

The fourth proportional to 396,586, 547,297.32 and 217,738 is: 300,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,586 : 547,297.32 = 217,738 : x
  2. Step 2: Convert to fraction form
    396,586/547,297.32 = 217,738/x
  3. Step 3: Cross multiply
    396,586x = 547,297.32 × 217,738
  4. Step 4: Simplify right side
    396,586x = 119,167,423,862.16
  5. Step 5: Solve for x
    x = 119,167,423,862.16/396,586
  6. Step 6: Final answer
    x = 300,483.18

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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.