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Finding the Fourth Proportional to 260,896.20, 391,344.30 and 208,408.20

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Solution

The fourth proportional to 260,896.20, 391,344.30 and 208,408.20 is: 312,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,896.20 : 391,344.30 = 208,408.20 : x
  2. Step 2: Convert to fraction form
    260,896.20/391,344.30 = 208,408.20/x
  3. Step 3: Cross multiply
    260,896.20x = 391,344.30 × 208,408.20
  4. Step 4: Simplify right side
    260,896.20x = 81,559,361,143.26
  5. Step 5: Solve for x
    x = 81,559,361,143.26/260,896.20
  6. Step 6: Final answer
    x = 312,612.30

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1.5x scale

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.