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Finding the Fourth Proportional to 255,928.60, 383,338.86 and 185,653

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Solution

The fourth proportional to 255,928.60, 383,338.86 and 185,653 is: 278,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,928.60 : 383,338.86 = 185,653 : x
  2. Step 2: Convert to fraction form
    255,928.60/383,338.86 = 185,653/x
  3. Step 3: Cross multiply
    255,928.60x = 383,338.86 × 185,653
  4. Step 4: Simplify right side
    255,928.60x = 71,168,009,375.58
  5. Step 5: Solve for x
    x = 71,168,009,375.58/255,928.60
  6. Step 6: Final answer
    x = 278,077.59

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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.