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Finding the Fourth Proportional to 263,065.83, 394,657.21 and 122,747.91

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Solution

The fourth proportional to 263,065.83, 394,657.21 and 122,747.91 is: 184,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,065.83 : 394,657.21 = 122,747.91 : x
  2. Step 2: Convert to fraction form
    263,065.83/394,657.21 = 122,747.91/x
  3. Step 3: Cross multiply
    263,065.83x = 394,657.21 × 122,747.91
  4. Step 4: Simplify right side
    263,065.83x = 48,443,346,367.40
  5. Step 5: Solve for x
    x = 48,443,346,367.40/263,065.83
  6. Step 6: Final answer
    x = 184,149.14

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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.