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Finding the Fourth Proportional to 396,700, 595,048.78 and 143,980.15

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Solution

The fourth proportional to 396,700, 595,048.78 and 143,980.15 is: 215,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,700 : 595,048.78 = 143,980.15 : x
  2. Step 2: Convert to fraction form
    396,700/595,048.78 = 143,980.15/x
  3. Step 3: Cross multiply
    396,700x = 595,048.78 × 143,980.15
  4. Step 4: Simplify right side
    396,700x = 85,675,212,601.72
  5. Step 5: Solve for x
    x = 85,675,212,601.72/396,700
  6. Step 6: Final answer
    x = 215,969.78

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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.