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Finding the Fourth Proportional to 366,147, 505,290.54 and 207,171

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Solution

The fourth proportional to 366,147, 505,290.54 and 207,171 is: 285,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,147 : 505,290.54 = 207,171 : x
  2. Step 2: Convert to fraction form
    366,147/505,290.54 = 207,171/x
  3. Step 3: Cross multiply
    366,147x = 505,290.54 × 207,171
  4. Step 4: Simplify right side
    366,147x = 104,681,546,462.34
  5. Step 5: Solve for x
    x = 104,681,546,462.34/366,147
  6. Step 6: Final answer
    x = 285,900.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.