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Finding the Fourth Proportional to 396,998.40, 595,497.60 and 147,628.80

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Solution

The fourth proportional to 396,998.40, 595,497.60 and 147,628.80 is: 221,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,998.40 : 595,497.60 = 147,628.80 : x
  2. Step 2: Convert to fraction form
    396,998.40/595,497.60 = 147,628.80/x
  3. Step 3: Cross multiply
    396,998.40x = 595,497.60 × 147,628.80
  4. Step 4: Simplify right side
    396,998.40x = 87,912,596,090.88
  5. Step 5: Solve for x
    x = 87,912,596,090.88/396,998.40
  6. Step 6: Final answer
    x = 221,443.20

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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.