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Finding the Fourth Proportional to 407,903.23, 611,791.66 and 208,371.07

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Solution

The fourth proportional to 407,903.23, 611,791.66 and 208,371.07 is: 312,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,903.23 : 611,791.66 = 208,371.07 : x
  2. Step 2: Convert to fraction form
    407,903.23/611,791.66 = 208,371.07/x
  3. Step 3: Cross multiply
    407,903.23x = 611,791.66 × 208,371.07
  4. Step 4: Simplify right side
    407,903.23x = 127,479,682,811.28
  5. Step 5: Solve for x
    x = 127,479,682,811.28/407,903.23
  6. Step 6: Final answer
    x = 312,524.33

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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.