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Finding the Fourth Proportional to 392,816.75, 589,213.44 and 108,524.34

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Solution

The fourth proportional to 392,816.75, 589,213.44 and 108,524.34 is: 162,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,816.75 : 589,213.44 = 108,524.34 : x
  2. Step 2: Convert to fraction form
    392,816.75/589,213.44 = 108,524.34/x
  3. Step 3: Cross multiply
    392,816.75x = 589,213.44 × 108,524.34
  4. Step 4: Simplify right side
    392,816.75x = 63,943,999,695.13
  5. Step 5: Solve for x
    x = 63,943,999,695.13/392,816.75
  6. Step 6: Final answer
    x = 162,783.28

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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.