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Finding the Fourth Proportional to 396,588.20, 595,271.10 and 197,133.80

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Solution

The fourth proportional to 396,588.20, 595,271.10 and 197,133.80 is: 295,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,588.20 : 595,271.10 = 197,133.80 : x
  2. Step 2: Convert to fraction form
    396,588.20/595,271.10 = 197,133.80/x
  3. Step 3: Cross multiply
    396,588.20x = 595,271.10 × 197,133.80
  4. Step 4: Simplify right side
    396,588.20x = 117,348,053,973.18
  5. Step 5: Solve for x
    x = 117,348,053,973.18/396,588.20
  6. Step 6: Final answer
    x = 295,893.96

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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.