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Finding the Fourth Proportional to 396,013.80, 594,020.70 and 143,293.80

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Solution

The fourth proportional to 396,013.80, 594,020.70 and 143,293.80 is: 214,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,013.80 : 594,020.70 = 143,293.80 : x
  2. Step 2: Convert to fraction form
    396,013.80/594,020.70 = 143,293.80/x
  3. Step 3: Cross multiply
    396,013.80x = 594,020.70 × 143,293.80
  4. Step 4: Simplify right side
    396,013.80x = 85,119,483,381.66
  5. Step 5: Solve for x
    x = 85,119,483,381.66/396,013.80
  6. Step 6: Final answer
    x = 214,940.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.