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Finding the Fourth Proportional to 396,984.20, 595,649.10 and 199,992.20

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Solution

The fourth proportional to 396,984.20, 595,649.10 and 199,992.20 is: 300,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,984.20 : 595,649.10 = 199,992.20 : x
  2. Step 2: Convert to fraction form
    396,984.20/595,649.10 = 199,992.20/x
  3. Step 3: Cross multiply
    396,984.20x = 595,649.10 × 199,992.20
  4. Step 4: Simplify right side
    396,984.20x = 119,125,173,937.02
  5. Step 5: Solve for x
    x = 119,125,173,937.02/396,984.20
  6. Step 6: Final answer
    x = 300,075.35

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1.5x scale

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.