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Finding the Fourth Proportional to 260,043.90, 389,849.85 and 110,399.10

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Solution

The fourth proportional to 260,043.90, 389,849.85 and 110,399.10 is: 165,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043.90 : 389,849.85 = 110,399.10 : x
  2. Step 2: Convert to fraction form
    260,043.90/389,849.85 = 110,399.10/x
  3. Step 3: Cross multiply
    260,043.90x = 389,849.85 × 110,399.10
  4. Step 4: Simplify right side
    260,043.90x = 43,039,072,575.14
  5. Step 5: Solve for x
    x = 43,039,072,575.14/260,043.90
  6. Step 6: Final answer
    x = 165,506.95

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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.