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Finding the Fourth Proportional to 660,668.14, 991,149.83 and 211,415.97

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Solution

The fourth proportional to 660,668.14, 991,149.83 and 211,415.97 is: 317,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,668.14 : 991,149.83 = 211,415.97 : x
  2. Step 2: Convert to fraction form
    660,668.14/991,149.83 = 211,415.97/x
  3. Step 3: Cross multiply
    660,668.14x = 991,149.83 × 211,415.97
  4. Step 4: Simplify right side
    660,668.14x = 209,544,902,724.79
  5. Step 5: Solve for x
    x = 209,544,902,724.79/660,668.14
  6. Step 6: Final answer
    x = 317,171.19

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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.