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Finding the Fourth Proportional to 271,852.42, 407,778.63 and 84,879.94

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Solution

The fourth proportional to 271,852.42, 407,778.63 and 84,879.94 is: 127,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,852.42 : 407,778.63 = 84,879.94 : x
  2. Step 2: Convert to fraction form
    271,852.42/407,778.63 = 84,879.94/x
  3. Step 3: Cross multiply
    271,852.42x = 407,778.63 × 84,879.94
  4. Step 4: Simplify right side
    271,852.42x = 34,612,225,647.68
  5. Step 5: Solve for x
    x = 34,612,225,647.68/271,852.42
  6. Step 6: Final answer
    x = 127,319.91

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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.