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Finding the Fourth Proportional to 654,321.65, 981,482.61 and 205,042.43

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Solution

The fourth proportional to 654,321.65, 981,482.61 and 205,042.43 is: 307,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,321.65 : 981,482.61 = 205,042.43 : x
  2. Step 2: Convert to fraction form
    654,321.65/981,482.61 = 205,042.43/x
  3. Step 3: Cross multiply
    654,321.65x = 981,482.61 × 205,042.43
  4. Step 4: Simplify right side
    654,321.65x = 201,245,579,357.14
  5. Step 5: Solve for x
    x = 201,245,579,357.14/654,321.65
  6. Step 6: Final answer
    x = 307,563.69

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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.