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Finding the Fourth Proportional to 198,652.80, 297,979.20 and 163,660.80

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Solution

The fourth proportional to 198,652.80, 297,979.20 and 163,660.80 is: 245,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,652.80 : 297,979.20 = 163,660.80 : x
  2. Step 2: Convert to fraction form
    198,652.80/297,979.20 = 163,660.80/x
  3. Step 3: Cross multiply
    198,652.80x = 297,979.20 × 163,660.80
  4. Step 4: Simplify right side
    198,652.80x = 48,767,514,255.36
  5. Step 5: Solve for x
    x = 48,767,514,255.36/198,652.80
  6. Step 6: Final answer
    x = 245,491.20

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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.