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Finding the Fourth Proportional to 398,840.50, 550,399.89 and 219,992.50

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Solution

The fourth proportional to 398,840.50, 550,399.89 and 219,992.50 is: 303,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,840.50 : 550,399.89 = 219,992.50 : x
  2. Step 2: Convert to fraction form
    398,840.50/550,399.89 = 219,992.50/x
  3. Step 3: Cross multiply
    398,840.50x = 550,399.89 × 219,992.50
  4. Step 4: Simplify right side
    398,840.50x = 121,083,847,800.83
  5. Step 5: Solve for x
    x = 121,083,847,800.83/398,840.50
  6. Step 6: Final answer
    x = 303,589.65

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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.