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Finding the Fourth Proportional to 673,948,978.20, 1,008,907,928.10 and 401,179,339.80

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Solution

The fourth proportional to 673,948,978.20, 1,008,907,928.10 and 401,179,339.80 is: 600,569,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,948,978.20 : 1,008,907,928.10 = 401,179,339.80 : x
  2. Step 2: Convert to fraction form
    673,948,978.20/1,008,907,928.10 = 401,179,339.80/x
  3. Step 3: Cross multiply
    673,948,978.20x = 1,008,907,928.10 × 401,179,339.80
  4. Step 4: Simplify right side
    673,948,978.20x = 404,753,016,514,143,872
  5. Step 5: Solve for x
    x = 404,753,016,514,143,872/673,948,978.20
  6. Step 6: Final answer
    x = 600,569,226.46

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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.