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Finding the Fourth Proportional to 211,187.55, 315,993.99 and 208,825.59

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Solution

The fourth proportional to 211,187.55, 315,993.99 and 208,825.59 is: 312,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,187.55 : 315,993.99 = 208,825.59 : x
  2. Step 2: Convert to fraction form
    211,187.55/315,993.99 = 208,825.59/x
  3. Step 3: Cross multiply
    211,187.55x = 315,993.99 × 208,825.59
  4. Step 4: Simplify right side
    211,187.55x = 65,987,631,398.20
  5. Step 5: Solve for x
    x = 65,987,631,398.20/211,187.55
  6. Step 6: Final answer
    x = 312,459.86

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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.