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Finding the Fourth Proportional to 290,932.56, 436,408.92 and 80,586

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Solution

The fourth proportional to 290,932.56, 436,408.92 and 80,586 is: 120,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,932.56 : 436,408.92 = 80,586 : x
  2. Step 2: Convert to fraction form
    290,932.56/436,408.92 = 80,586/x
  3. Step 3: Cross multiply
    290,932.56x = 436,408.92 × 80,586
  4. Step 4: Simplify right side
    290,932.56x = 35,168,449,227.12
  5. Step 5: Solve for x
    x = 35,168,449,227.12/290,932.56
  6. Step 6: Final answer
    x = 120,881.79

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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.