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Finding the Fourth Proportional to 255,873.64, 383,620.88 and 122,627

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Solution

The fourth proportional to 255,873.64, 383,620.88 and 122,627 is: 183,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,873.64 : 383,620.88 = 122,627 : x
  2. Step 2: Convert to fraction form
    255,873.64/383,620.88 = 122,627/x
  3. Step 3: Cross multiply
    255,873.64x = 383,620.88 × 122,627
  4. Step 4: Simplify right side
    255,873.64x = 47,042,277,651.76
  5. Step 5: Solve for x
    x = 47,042,277,651.76/255,873.64
  6. Step 6: Final answer
    x = 183,849.64

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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.