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Finding the Fourth Proportional to 260,779.24, 391,149.42 and 83,305

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Solution

The fourth proportional to 260,779.24, 391,149.42 and 83,305 is: 124,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,779.24 : 391,149.42 = 83,305 : x
  2. Step 2: Convert to fraction form
    260,779.24/391,149.42 = 83,305/x
  3. Step 3: Cross multiply
    260,779.24x = 391,149.42 × 83,305
  4. Step 4: Simplify right side
    260,779.24x = 32,584,702,433.10
  5. Step 5: Solve for x
    x = 32,584,702,433.10/260,779.24
  6. Step 6: Final answer
    x = 124,951.29

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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.