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Finding the Fourth Proportional to 366,821.20, 550,231.80 and 189,674.20

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Solution

The fourth proportional to 366,821.20, 550,231.80 and 189,674.20 is: 284,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,821.20 : 550,231.80 = 189,674.20 : x
  2. Step 2: Convert to fraction form
    366,821.20/550,231.80 = 189,674.20/x
  3. Step 3: Cross multiply
    366,821.20x = 550,231.80 × 189,674.20
  4. Step 4: Simplify right side
    366,821.20x = 104,364,776,479.56
  5. Step 5: Solve for x
    x = 104,364,776,479.56/366,821.20
  6. Step 6: Final answer
    x = 284,511.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.