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Finding the Fourth Proportional to 306,745.86, 459,905.33 and 135,874.82

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Solution

The fourth proportional to 306,745.86, 459,905.33 and 135,874.82 is: 203,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,745.86 : 459,905.33 = 135,874.82 : x
  2. Step 2: Convert to fraction form
    306,745.86/459,905.33 = 135,874.82/x
  3. Step 3: Cross multiply
    306,745.86x = 459,905.33 × 135,874.82
  4. Step 4: Simplify right side
    306,745.86x = 62,489,550,951.89
  5. Step 5: Solve for x
    x = 62,489,550,951.89/306,745.86
  6. Step 6: Final answer
    x = 203,717.67

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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.