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Finding the Fourth Proportional to 398,911.80, 598,367.70 and 188,959.80

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Solution

The fourth proportional to 398,911.80, 598,367.70 and 188,959.80 is: 283,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,911.80 : 598,367.70 = 188,959.80 : x
  2. Step 2: Convert to fraction form
    398,911.80/598,367.70 = 188,959.80/x
  3. Step 3: Cross multiply
    398,911.80x = 598,367.70 × 188,959.80
  4. Step 4: Simplify right side
    398,911.80x = 113,067,440,918.46
  5. Step 5: Solve for x
    x = 113,067,440,918.46/398,911.80
  6. Step 6: Final answer
    x = 283,439.70

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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.