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Finding the Fourth Proportional to 398,230.10, 597,250.83 and 113,911.90

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Solution

The fourth proportional to 398,230.10, 597,250.83 and 113,911.90 is: 170,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,230.10 : 597,250.83 = 113,911.90 : x
  2. Step 2: Convert to fraction form
    398,230.10/597,250.83 = 113,911.90/x
  3. Step 3: Cross multiply
    398,230.10x = 597,250.83 × 113,911.90
  4. Step 4: Simplify right side
    398,230.10x = 68,033,976,821.88
  5. Step 5: Solve for x
    x = 68,033,976,821.88/398,230.10
  6. Step 6: Final answer
    x = 170,840.87

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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.