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Finding the Fourth Proportional to 398,435.01, 597,828.59 and 208,850.05

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Solution

The fourth proportional to 398,435.01, 597,828.59 and 208,850.05 is: 313,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,435.01 : 597,828.59 = 208,850.05 : x
  2. Step 2: Convert to fraction form
    398,435.01/597,828.59 = 208,850.05/x
  3. Step 3: Cross multiply
    398,435.01x = 597,828.59 × 208,850.05
  4. Step 4: Simplify right side
    398,435.01x = 124,856,530,912.93
  5. Step 5: Solve for x
    x = 124,856,530,912.93/398,435.01
  6. Step 6: Final answer
    x = 313,367.37

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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.