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Finding the Fourth Proportional to 641,640, 962,460 and 198,408

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Solution

The fourth proportional to 641,640, 962,460 and 198,408 is: 297,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,640 : 962,460 = 198,408 : x
  2. Step 2: Convert to fraction form
    641,640/962,460 = 198,408/x
  3. Step 3: Cross multiply
    641,640x = 962,460 × 198,408
  4. Step 4: Simplify right side
    641,640x = 190,959,763,680
  5. Step 5: Solve for x
    x = 190,959,763,680/641,640
  6. Step 6: Final answer
    x = 297,612

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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.