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Finding the Fourth Proportional to 310,761.52, 428,883.82 and 189,973.52

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Solution

The fourth proportional to 310,761.52, 428,883.82 and 189,973.52 is: 262,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,761.52 : 428,883.82 = 189,973.52 : x
  2. Step 2: Convert to fraction form
    310,761.52/428,883.82 = 189,973.52/x
  3. Step 3: Cross multiply
    310,761.52x = 428,883.82 × 189,973.52
  4. Step 4: Simplify right side
    310,761.52x = 81,476,568,956.45
  5. Step 5: Solve for x
    x = 81,476,568,956.45/310,761.52
  6. Step 6: Final answer
    x = 262,183.58

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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.