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Finding the Fourth Proportional to 398,849.74, 598,274.32 and 118,367

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Solution

The fourth proportional to 398,849.74, 598,274.32 and 118,367 is: 177,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,849.74 : 598,274.32 = 118,367 : x
  2. Step 2: Convert to fraction form
    398,849.74/598,274.32 = 118,367/x
  3. Step 3: Cross multiply
    398,849.74x = 598,274.32 × 118,367
  4. Step 4: Simplify right side
    398,849.74x = 70,815,936,435.44
  5. Step 5: Solve for x
    x = 70,815,936,435.44/398,849.74
  6. Step 6: Final answer
    x = 177,550.41

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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.