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Finding the Fourth Proportional to 268,118.92, 401,416.78 and 204,865.16

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Solution

The fourth proportional to 268,118.92, 401,416.78 and 204,865.16 is: 306,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,118.92 : 401,416.78 = 204,865.16 : x
  2. Step 2: Convert to fraction form
    268,118.92/401,416.78 = 204,865.16/x
  3. Step 3: Cross multiply
    268,118.92x = 401,416.78 × 204,865.16
  4. Step 4: Simplify right side
    268,118.92x = 82,236,312,861.38
  5. Step 5: Solve for x
    x = 82,236,312,861.38/268,118.92
  6. Step 6: Final answer
    x = 306,715.81

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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.