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Finding the Fourth Proportional to 654,375.76, 981,565.20 and 198,971.20

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Solution

The fourth proportional to 654,375.76, 981,565.20 and 198,971.20 is: 298,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,375.76 : 981,565.20 = 198,971.20 : x
  2. Step 2: Convert to fraction form
    654,375.76/981,565.20 = 198,971.20/x
  3. Step 3: Cross multiply
    654,375.76x = 981,565.20 × 198,971.20
  4. Step 4: Simplify right side
    654,375.76x = 195,303,205,722.24
  5. Step 5: Solve for x
    x = 195,303,205,722.24/654,375.76
  6. Step 6: Final answer
    x = 298,457.27

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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.