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Finding the Fourth Proportional to 392,884.56, 589,584.96 and 215,516.16

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Solution

The fourth proportional to 392,884.56, 589,584.96 and 215,516.16 is: 323,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,884.56 : 589,584.96 = 215,516.16 : x
  2. Step 2: Convert to fraction form
    392,884.56/589,584.96 = 215,516.16/x
  3. Step 3: Cross multiply
    392,884.56x = 589,584.96 × 215,516.16
  4. Step 4: Simplify right side
    392,884.56x = 127,065,086,572.95
  5. Step 5: Solve for x
    x = 127,065,086,572.95/392,884.56
  6. Step 6: Final answer
    x = 323,415.83

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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.