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Finding the Fourth Proportional to 263,308.49, 363,365.21 and 142,449.87

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Solution

The fourth proportional to 263,308.49, 363,365.21 and 142,449.87 is: 196,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,308.49 : 363,365.21 = 142,449.87 : x
  2. Step 2: Convert to fraction form
    263,308.49/363,365.21 = 142,449.87/x
  3. Step 3: Cross multiply
    263,308.49x = 363,365.21 × 142,449.87
  4. Step 4: Simplify right side
    263,308.49x = 51,761,326,927.02
  5. Step 5: Solve for x
    x = 51,761,326,927.02/263,308.49
  6. Step 6: Final answer
    x = 196,580.55

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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.