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Finding the Fourth Proportional to 218,855.40, 328,283.10 and 113,879.40

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Solution

The fourth proportional to 218,855.40, 328,283.10 and 113,879.40 is: 170,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,855.40 : 328,283.10 = 113,879.40 : x
  2. Step 2: Convert to fraction form
    218,855.40/328,283.10 = 113,879.40/x
  3. Step 3: Cross multiply
    218,855.40x = 328,283.10 × 113,879.40
  4. Step 4: Simplify right side
    218,855.40x = 37,384,682,458.14
  5. Step 5: Solve for x
    x = 37,384,682,458.14/218,855.40
  6. Step 6: Final answer
    x = 170,819.10

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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.