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Finding the Fourth Proportional to 306,408.96, 422,795.52 and 185,529.60

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Solution

The fourth proportional to 306,408.96, 422,795.52 and 185,529.60 is: 256,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,408.96 : 422,795.52 = 185,529.60 : x
  2. Step 2: Convert to fraction form
    306,408.96/422,795.52 = 185,529.60/x
  3. Step 3: Cross multiply
    306,408.96x = 422,795.52 × 185,529.60
  4. Step 4: Simplify right side
    306,408.96x = 78,441,083,707.39
  5. Step 5: Solve for x
    x = 78,441,083,707.39/306,408.96
  6. Step 6: Final answer
    x = 256,001.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.