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Finding the Fourth Proportional to 631,321,375.96, 871,188,356.31 and 349,047,497.57

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Solution

The fourth proportional to 631,321,375.96, 871,188,356.31 and 349,047,497.57 is: 481,666,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,321,375.96 : 871,188,356.31 = 349,047,497.57 : x
  2. Step 2: Convert to fraction form
    631,321,375.96/871,188,356.31 = 349,047,497.57/x
  3. Step 3: Cross multiply
    631,321,375.96x = 871,188,356.31 × 349,047,497.57
  4. Step 4: Simplify right side
    631,321,375.96x = 304,086,115,676,462,144
  5. Step 5: Solve for x
    x = 304,086,115,676,462,144/631,321,375.96
  6. Step 6: Final answer
    x = 481,666,116.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.