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Finding the Fourth Proportional to 305,996.50, 422,314.77 and 171,860.50

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Solution

The fourth proportional to 305,996.50, 422,314.77 and 171,860.50 is: 237,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,996.50 : 422,314.77 = 171,860.50 : x
  2. Step 2: Convert to fraction form
    305,996.50/422,314.77 = 171,860.50/x
  3. Step 3: Cross multiply
    305,996.50x = 422,314.77 × 171,860.50
  4. Step 4: Simplify right side
    305,996.50x = 72,579,227,529.59
  5. Step 5: Solve for x
    x = 72,579,227,529.59/305,996.50
  6. Step 6: Final answer
    x = 237,189.73

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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.