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Finding the Fourth Proportional to 396,693.72, 595,059.66 and 130,448.34

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Solution

The fourth proportional to 396,693.72, 595,059.66 and 130,448.34 is: 195,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,693.72 : 595,059.66 = 130,448.34 : x
  2. Step 2: Convert to fraction form
    396,693.72/595,059.66 = 130,448.34/x
  3. Step 3: Cross multiply
    396,693.72x = 595,059.66 × 130,448.34
  4. Step 4: Simplify right side
    396,693.72x = 77,624,544,847.96
  5. Step 5: Solve for x
    x = 77,624,544,847.96/396,693.72
  6. Step 6: Final answer
    x = 195,678.78

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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.