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Finding the Fourth Proportional to 394,064.92, 543,810.18 and 224,299

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Solution

The fourth proportional to 394,064.92, 543,810.18 and 224,299 is: 309,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,064.92 : 543,810.18 = 224,299 : x
  2. Step 2: Convert to fraction form
    394,064.92/543,810.18 = 224,299/x
  3. Step 3: Cross multiply
    394,064.92x = 543,810.18 × 224,299
  4. Step 4: Simplify right side
    394,064.92x = 121,976,079,563.82
  5. Step 5: Solve for x
    x = 121,976,079,563.82/394,064.92
  6. Step 6: Final answer
    x = 309,532.96

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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.