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Finding the Fourth Proportional to 253,874.14, 380,436.84 and 141,399.42

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Solution

The fourth proportional to 253,874.14, 380,436.84 and 141,399.42 is: 211,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,874.14 : 380,436.84 = 141,399.42 : x
  2. Step 2: Convert to fraction form
    253,874.14/380,436.84 = 141,399.42/x
  3. Step 3: Cross multiply
    253,874.14x = 380,436.84 × 141,399.42
  4. Step 4: Simplify right side
    253,874.14x = 53,793,548,522.63
  5. Step 5: Solve for x
    x = 53,793,548,522.63/253,874.14
  6. Step 6: Final answer
    x = 211,890.62

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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.