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Finding the Fourth Proportional to 394,122.04, 543,888.90 and 224,356

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Solution

The fourth proportional to 394,122.04, 543,888.90 and 224,356 is: 309,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,122.04 : 543,888.90 = 224,356 : x
  2. Step 2: Convert to fraction form
    394,122.04/543,888.90 = 224,356/x
  3. Step 3: Cross multiply
    394,122.04x = 543,888.90 × 224,356
  4. Step 4: Simplify right side
    394,122.04x = 122,024,738,048.40
  5. Step 5: Solve for x
    x = 122,024,738,048.40/394,122.04
  6. Step 6: Final answer
    x = 309,611.56

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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.