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Finding the Fourth Proportional to 260,794.10, 391,191.15 and 142,400.86

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Solution

The fourth proportional to 260,794.10, 391,191.15 and 142,400.86 is: 213,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,794.10 : 391,191.15 = 142,400.86 : x
  2. Step 2: Convert to fraction form
    260,794.10/391,191.15 = 142,400.86/x
  3. Step 3: Cross multiply
    260,794.10x = 391,191.15 × 142,400.86
  4. Step 4: Simplify right side
    260,794.10x = 55,705,954,228.43
  5. Step 5: Solve for x
    x = 55,705,954,228.43/260,794.10
  6. Step 6: Final answer
    x = 213,601.28

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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.