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Finding the Fourth Proportional to 445,825,805.40, 668,100,978.90 and 328,324,200.30

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Solution

The fourth proportional to 445,825,805.40, 668,100,978.90 and 328,324,200.30 is: 492,016,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,825,805.40 : 668,100,978.90 = 328,324,200.30 : x
  2. Step 2: Convert to fraction form
    445,825,805.40/668,100,978.90 = 328,324,200.30/x
  3. Step 3: Cross multiply
    445,825,805.40x = 668,100,978.90 × 328,324,200.30
  4. Step 4: Simplify right side
    445,825,805.40x = 219,353,719,616,989,664
  5. Step 5: Solve for x
    x = 219,353,719,616,989,664/445,825,805.40
  6. Step 6: Final answer
    x = 492,016,650.81

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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.