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Finding the Fourth Proportional to 392,724.36, 589,297.68 and 156,069

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Solution

The fourth proportional to 392,724.36, 589,297.68 and 156,069 is: 234,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,724.36 : 589,297.68 = 156,069 : x
  2. Step 2: Convert to fraction form
    392,724.36/589,297.68 = 156,069/x
  3. Step 3: Cross multiply
    392,724.36x = 589,297.68 × 156,069
  4. Step 4: Simplify right side
    392,724.36x = 91,971,099,619.92
  5. Step 5: Solve for x
    x = 91,971,099,619.92/392,724.36
  6. Step 6: Final answer
    x = 234,187.41

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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.