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Finding the Fourth Proportional to 394,062, 543,809 and 224,307.04

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Solution

The fourth proportional to 394,062, 543,809 and 224,307.04 is: 309,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,062 : 543,809 = 224,307.04 : x
  2. Step 2: Convert to fraction form
    394,062/543,809 = 224,307.04/x
  3. Step 3: Cross multiply
    394,062x = 543,809 × 224,307.04
  4. Step 4: Simplify right side
    394,062x = 121,980,187,115.36
  5. Step 5: Solve for x
    x = 121,980,187,115.36/394,062
  6. Step 6: Final answer
    x = 309,545.67

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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.