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Finding the Fourth Proportional to 217,257.84, 326,197.80 and 161,270.64

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Solution

The fourth proportional to 217,257.84, 326,197.80 and 161,270.64 is: 242,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,257.84 : 326,197.80 = 161,270.64 : x
  2. Step 2: Convert to fraction form
    217,257.84/326,197.80 = 161,270.64/x
  3. Step 3: Cross multiply
    217,257.84x = 326,197.80 × 161,270.64
  4. Step 4: Simplify right side
    217,257.84x = 52,606,127,972.59
  5. Step 5: Solve for x
    x = 52,606,127,972.59/217,257.84
  6. Step 6: Final answer
    x = 242,136.85

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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.