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Finding the Fourth Proportional to 259,539.36, 389,360.96 and 109,779

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Solution

The fourth proportional to 259,539.36, 389,360.96 and 109,779 is: 164,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,539.36 : 389,360.96 = 109,779 : x
  2. Step 2: Convert to fraction form
    259,539.36/389,360.96 = 109,779/x
  3. Step 3: Cross multiply
    259,539.36x = 389,360.96 × 109,779
  4. Step 4: Simplify right side
    259,539.36x = 42,743,656,827.84
  5. Step 5: Solve for x
    x = 42,743,656,827.84/259,539.36
  6. Step 6: Final answer
    x = 164,690.46

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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.