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Finding the Fourth Proportional to 306,311.82, 422,648.37 and 178,962.81

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Solution

The fourth proportional to 306,311.82, 422,648.37 and 178,962.81 is: 246,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,311.82 : 422,648.37 = 178,962.81 : x
  2. Step 2: Convert to fraction form
    306,311.82/422,648.37 = 178,962.81/x
  3. Step 3: Cross multiply
    306,311.82x = 422,648.37 × 178,962.81
  4. Step 4: Simplify right side
    306,311.82x = 75,638,339,937.12
  5. Step 5: Solve for x
    x = 75,638,339,937.12/306,311.82
  6. Step 6: Final answer
    x = 246,932.49

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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.