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Finding the Fourth Proportional to 312,014.67, 468,022.04 and 87,408.49

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Solution

The fourth proportional to 312,014.67, 468,022.04 and 87,408.49 is: 131,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,014.67 : 468,022.04 = 87,408.49 : x
  2. Step 2: Convert to fraction form
    312,014.67/468,022.04 = 87,408.49/x
  3. Step 3: Cross multiply
    312,014.67x = 468,022.04 × 87,408.49
  4. Step 4: Simplify right side
    312,014.67x = 40,909,097,025.97
  5. Step 5: Solve for x
    x = 40,909,097,025.97/312,014.67
  6. Step 6: Final answer
    x = 131,112.74

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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.