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Finding the Fourth Proportional to 391,889.61, 589,163.22 and 312,936.21

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Solution

The fourth proportional to 391,889.61, 589,163.22 and 312,936.21 is: 470,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,889.61 : 589,163.22 = 312,936.21 : x
  2. Step 2: Convert to fraction form
    391,889.61/589,163.22 = 312,936.21/x
  3. Step 3: Cross multiply
    391,889.61x = 589,163.22 × 312,936.21
  4. Step 4: Simplify right side
    391,889.61x = 184,370,505,138.20
  5. Step 5: Solve for x
    x = 184,370,505,138.20/391,889.61
  6. Step 6: Final answer
    x = 470,465.41

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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.