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Finding the Fourth Proportional to 646,616,556.78, 970,538,034.87 and 400,227,887.49

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Solution

The fourth proportional to 646,616,556.78, 970,538,034.87 and 400,227,887.49 is: 600,721,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,616,556.78 : 970,538,034.87 = 400,227,887.49 : x
  2. Step 2: Convert to fraction form
    646,616,556.78/970,538,034.87 = 400,227,887.49/x
  3. Step 3: Cross multiply
    646,616,556.78x = 970,538,034.87 × 400,227,887.49
  4. Step 4: Simplify right side
    646,616,556.78x = 388,436,387,424,716,096
  5. Step 5: Solve for x
    x = 388,436,387,424,716,096/646,616,556.78
  6. Step 6: Final answer
    x = 600,721,375.52

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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.