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Finding the Fourth Proportional to 781,571.71, 1,171,745.14 and 308,611.09

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Solution

The fourth proportional to 781,571.71, 1,171,745.14 and 308,611.09 is: 462,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,571.71 : 1,171,745.14 = 308,611.09 : x
  2. Step 2: Convert to fraction form
    781,571.71/1,171,745.14 = 308,611.09/x
  3. Step 3: Cross multiply
    781,571.71x = 1,171,745.14 × 308,611.09
  4. Step 4: Simplify right side
    781,571.71x = 361,613,543,314.55
  5. Step 5: Solve for x
    x = 361,613,543,314.55/781,571.71
  6. Step 6: Final answer
    x = 462,674.81

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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.