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Finding the Fourth Proportional to 198,963.57, 298,257.74 and 99,029.28

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Solution

The fourth proportional to 198,963.57, 298,257.74 and 99,029.28 is: 148,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,963.57 : 298,257.74 = 99,029.28 : x
  2. Step 2: Convert to fraction form
    198,963.57/298,257.74 = 99,029.28/x
  3. Step 3: Cross multiply
    198,963.57x = 298,257.74 × 99,029.28
  4. Step 4: Simplify right side
    198,963.57x = 29,536,249,246.63
  5. Step 5: Solve for x
    x = 29,536,249,246.63/198,963.57
  6. Step 6: Final answer
    x = 148,450.54

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1.5x scale

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.