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Finding the Fourth Proportional to 306,524.24, 422,864.52 and 221,506.64

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Solution

The fourth proportional to 306,524.24, 422,864.52 and 221,506.64 is: 305,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,524.24 : 422,864.52 = 221,506.64 : x
  2. Step 2: Convert to fraction form
    306,524.24/422,864.52 = 221,506.64/x
  3. Step 3: Cross multiply
    306,524.24x = 422,864.52 × 221,506.64
  4. Step 4: Simplify right side
    306,524.24x = 93,667,299,000.41
  5. Step 5: Solve for x
    x = 93,667,299,000.41/306,524.24
  6. Step 6: Final answer
    x = 305,578.77

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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.