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Finding the Fourth Proportional to 398,647,278.40, 597,970,917.60 and 395,959,892.80

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Solution

The fourth proportional to 398,647,278.40, 597,970,917.60 and 395,959,892.80 is: 593,939,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647,278.40 : 597,970,917.60 = 395,959,892.80 : x
  2. Step 2: Convert to fraction form
    398,647,278.40/597,970,917.60 = 395,959,892.80/x
  3. Step 3: Cross multiply
    398,647,278.40x = 597,970,917.60 × 395,959,892.80
  4. Step 4: Simplify right side
    398,647,278.40x = 236,772,500,430,413,664
  5. Step 5: Solve for x
    x = 236,772,500,430,413,664/398,647,278.40
  6. Step 6: Final answer
    x = 593,939,839.20

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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.