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Finding the Fourth Proportional to 260,738.80, 390,949.80 and 102,785.20

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Solution

The fourth proportional to 260,738.80, 390,949.80 and 102,785.20 is: 154,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,738.80 : 390,949.80 = 102,785.20 : x
  2. Step 2: Convert to fraction form
    260,738.80/390,949.80 = 102,785.20/x
  3. Step 3: Cross multiply
    260,738.80x = 390,949.80 × 102,785.20
  4. Step 4: Simplify right side
    260,738.80x = 40,183,853,382.96
  5. Step 5: Solve for x
    x = 40,183,853,382.96/260,738.80
  6. Step 6: Final answer
    x = 154,115.36

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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.