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Finding the Fourth Proportional to 325,978,920.40, 488,992,000.20 and 196,307,316.40

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Solution

The fourth proportional to 325,978,920.40, 488,992,000.20 and 196,307,316.40 is: 294,475,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,978,920.40 : 488,992,000.20 = 196,307,316.40 : x
  2. Step 2: Convert to fraction form
    325,978,920.40/488,992,000.20 = 196,307,316.40/x
  3. Step 3: Cross multiply
    325,978,920.40x = 488,992,000.20 × 196,307,316.40
  4. Step 4: Simplify right side
    325,978,920.40x = 95,992,707,300,330,256
  5. Step 5: Solve for x
    x = 95,992,707,300,330,256/325,978,920.40
  6. Step 6: Final answer
    x = 294,475,198.53

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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.