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Finding the Fourth Proportional to 218,184.57, 300,923.89 and 149,314.82

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Solution

The fourth proportional to 218,184.57, 300,923.89 and 149,314.82 is: 205,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,184.57 : 300,923.89 = 149,314.82 : x
  2. Step 2: Convert to fraction form
    218,184.57/300,923.89 = 149,314.82/x
  3. Step 3: Cross multiply
    218,184.57x = 300,923.89 × 149,314.82
  4. Step 4: Simplify right side
    218,184.57x = 44,932,394,591.14
  5. Step 5: Solve for x
    x = 44,932,394,591.14/218,184.57
  6. Step 6: Final answer
    x = 205,937.54

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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.