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Finding the Fourth Proportional to 392,613.40, 541,794.64 and 218,183

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Solution

The fourth proportional to 392,613.40, 541,794.64 and 218,183 is: 301,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,613.40 : 541,794.64 = 218,183 : x
  2. Step 2: Convert to fraction form
    392,613.40/541,794.64 = 218,183/x
  3. Step 3: Cross multiply
    392,613.40x = 541,794.64 × 218,183
  4. Step 4: Simplify right side
    392,613.40x = 118,210,379,939.12
  5. Step 5: Solve for x
    x = 118,210,379,939.12/392,613.40
  6. Step 6: Final answer
    x = 301,085.95

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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.