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Finding the Fourth Proportional to 398,994.36, 598,589.10 and 132,754.20

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Solution

The fourth proportional to 398,994.36, 598,589.10 and 132,754.20 is: 199,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,994.36 : 598,589.10 = 132,754.20 : x
  2. Step 2: Convert to fraction form
    398,994.36/598,589.10 = 132,754.20/x
  3. Step 3: Cross multiply
    398,994.36x = 598,589.10 × 132,754.20
  4. Step 4: Simplify right side
    398,994.36x = 79,465,217,099.22
  5. Step 5: Solve for x
    x = 79,465,217,099.22/398,994.36
  6. Step 6: Final answer
    x = 199,163.76

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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.