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Finding the Fourth Proportional to 287,571.66, 396,850.47 and 166,784.55

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Solution

The fourth proportional to 287,571.66, 396,850.47 and 166,784.55 is: 230,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,571.66 : 396,850.47 = 166,784.55 : x
  2. Step 2: Convert to fraction form
    287,571.66/396,850.47 = 166,784.55/x
  3. Step 3: Cross multiply
    287,571.66x = 396,850.47 × 166,784.55
  4. Step 4: Simplify right side
    287,571.66x = 66,188,527,056.24
  5. Step 5: Solve for x
    x = 66,188,527,056.24/287,571.66
  6. Step 6: Final answer
    x = 230,163.59

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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.