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Finding the Fourth Proportional to 394,056.38, 543,798.41 and 224,290.50

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Solution

The fourth proportional to 394,056.38, 543,798.41 and 224,290.50 is: 309,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,056.38 : 543,798.41 = 224,290.50 : x
  2. Step 2: Convert to fraction form
    394,056.38/543,798.41 = 224,290.50/x
  3. Step 3: Cross multiply
    394,056.38x = 543,798.41 × 224,290.50
  4. Step 4: Simplify right side
    394,056.38x = 121,968,816,156.65
  5. Step 5: Solve for x
    x = 121,968,816,156.65/394,056.38
  6. Step 6: Final answer
    x = 309,521.24

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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.