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Finding the Fourth Proportional to 330,726.56, 496,089.78 and 81,408.56

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Solution

The fourth proportional to 330,726.56, 496,089.78 and 81,408.56 is: 122,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,726.56 : 496,089.78 = 81,408.56 : x
  2. Step 2: Convert to fraction form
    330,726.56/496,089.78 = 81,408.56/x
  3. Step 3: Cross multiply
    330,726.56x = 496,089.78 × 81,408.56
  4. Step 4: Simplify right side
    330,726.56x = 40,385,954,620.52
  5. Step 5: Solve for x
    x = 40,385,954,620.52/330,726.56
  6. Step 6: Final answer
    x = 122,112.83

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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.