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Finding the Fourth Proportional to 208,659.39, 312,883.84 and 148,653.58

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Solution

The fourth proportional to 208,659.39, 312,883.84 and 148,653.58 is: 222,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,659.39 : 312,883.84 = 148,653.58 : x
  2. Step 2: Convert to fraction form
    208,659.39/312,883.84 = 148,653.58/x
  3. Step 3: Cross multiply
    208,659.39x = 312,883.84 × 148,653.58
  4. Step 4: Simplify right side
    208,659.39x = 46,511,302,512.32
  5. Step 5: Solve for x
    x = 46,511,302,512.32/208,659.39
  6. Step 6: Final answer
    x = 222,905.39

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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.