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Finding the Fourth Proportional to 331,842.30, 457,969.59 and 188,647.26

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Solution

The fourth proportional to 331,842.30, 457,969.59 and 188,647.26 is: 260,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,842.30 : 457,969.59 = 188,647.26 : x
  2. Step 2: Convert to fraction form
    331,842.30/457,969.59 = 188,647.26/x
  3. Step 3: Cross multiply
    331,842.30x = 457,969.59 × 188,647.26
  4. Step 4: Simplify right side
    331,842.30x = 86,394,708,316.82
  5. Step 5: Solve for x
    x = 86,394,708,316.82/331,842.30
  6. Step 6: Final answer
    x = 260,348.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.