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Finding the Fourth Proportional to 396,546, 547,237.32 and 217,701.84

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Solution

The fourth proportional to 396,546, 547,237.32 and 217,701.84 is: 300,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,546 : 547,237.32 = 217,701.84 : x
  2. Step 2: Convert to fraction form
    396,546/547,237.32 = 217,701.84/x
  3. Step 3: Cross multiply
    396,546x = 547,237.32 × 217,701.84
  4. Step 4: Simplify right side
    396,546x = 119,134,571,480.67
  5. Step 5: Solve for x
    x = 119,134,571,480.67/396,546
  6. Step 6: Final answer
    x = 300,430.65

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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.