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Finding the Fourth Proportional to 381,019.34, 571,456.26 and 191,427.06

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Solution

The fourth proportional to 381,019.34, 571,456.26 and 191,427.06 is: 287,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,019.34 : 571,456.26 = 191,427.06 : x
  2. Step 2: Convert to fraction form
    381,019.34/571,456.26 = 191,427.06/x
  3. Step 3: Cross multiply
    381,019.34x = 571,456.26 × 191,427.06
  4. Step 4: Simplify right side
    381,019.34x = 109,392,191,770.40
  5. Step 5: Solve for x
    x = 109,392,191,770.40/381,019.34
  6. Step 6: Final answer
    x = 287,104.04

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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.