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Finding the Fourth Proportional to 253,977.69, 380,218.89 and 187,713.21

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Solution

The fourth proportional to 253,977.69, 380,218.89 and 187,713.21 is: 281,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,977.69 : 380,218.89 = 187,713.21 : x
  2. Step 2: Convert to fraction form
    253,977.69/380,218.89 = 187,713.21/x
  3. Step 3: Cross multiply
    253,977.69x = 380,218.89 × 187,713.21
  4. Step 4: Simplify right side
    253,977.69x = 71,372,108,344.54
  5. Step 5: Solve for x
    x = 71,372,108,344.54/253,977.69
  6. Step 6: Final answer
    x = 281,017.24

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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.