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Finding the Fourth Proportional to 631,629.94, 871,651.64 and 345,150.07

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Solution

The fourth proportional to 631,629.94, 871,651.64 and 345,150.07 is: 476,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,629.94 : 871,651.64 = 345,150.07 : x
  2. Step 2: Convert to fraction form
    631,629.94/871,651.64 = 345,150.07/x
  3. Step 3: Cross multiply
    631,629.94x = 871,651.64 × 345,150.07
  4. Step 4: Simplify right side
    631,629.94x = 300,850,624,561.62
  5. Step 5: Solve for x
    x = 300,850,624,561.62/631,629.94
  6. Step 6: Final answer
    x = 476,308.37

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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.