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Finding the Fourth Proportional to 255,808.39, 383,978.73 and 188,416.52

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Solution

The fourth proportional to 255,808.39, 383,978.73 and 188,416.52 is: 282,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,808.39 : 383,978.73 = 188,416.52 : x
  2. Step 2: Convert to fraction form
    255,808.39/383,978.73 = 188,416.52/x
  3. Step 3: Cross multiply
    255,808.39x = 383,978.73 × 188,416.52
  4. Step 4: Simplify right side
    255,808.39x = 72,347,936,060.62
  5. Step 5: Solve for x
    x = 72,347,936,060.62/255,808.39
  6. Step 6: Final answer
    x = 282,820.81

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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.