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Finding the Fourth Proportional to 398,260.80, 598,082.40 and 211,636.80

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Solution

The fourth proportional to 398,260.80, 598,082.40 and 211,636.80 is: 317,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,260.80 : 598,082.40 = 211,636.80 : x
  2. Step 2: Convert to fraction form
    398,260.80/598,082.40 = 211,636.80/x
  3. Step 3: Cross multiply
    398,260.80x = 598,082.40 × 211,636.80
  4. Step 4: Simplify right side
    398,260.80x = 126,576,245,272.32
  5. Step 5: Solve for x
    x = 126,576,245,272.32/398,260.80
  6. Step 6: Final answer
    x = 317,822.51

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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.