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Finding the Fourth Proportional to 260,013.70, 389,905.35 and 119,815.30

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Solution

The fourth proportional to 260,013.70, 389,905.35 and 119,815.30 is: 179,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.70 : 389,905.35 = 119,815.30 : x
  2. Step 2: Convert to fraction form
    260,013.70/389,905.35 = 119,815.30/x
  3. Step 3: Cross multiply
    260,013.70x = 389,905.35 × 119,815.30
  4. Step 4: Simplify right side
    260,013.70x = 46,716,626,481.86
  5. Step 5: Solve for x
    x = 46,716,626,481.86/260,013.70
  6. Step 6: Final answer
    x = 179,669.87

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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.