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Finding the Fourth Proportional to 306,262.89, 422,580.54 and 178,913.88

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Solution

The fourth proportional to 306,262.89, 422,580.54 and 178,913.88 is: 246,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,262.89 : 422,580.54 = 178,913.88 : x
  2. Step 2: Convert to fraction form
    306,262.89/422,580.54 = 178,913.88/x
  3. Step 3: Cross multiply
    306,262.89x = 422,580.54 × 178,913.88
  4. Step 4: Simplify right side
    306,262.89x = 75,605,524,694.82
  5. Step 5: Solve for x
    x = 75,605,524,694.82/306,262.89
  6. Step 6: Final answer
    x = 246,864.79

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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.