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Finding the Fourth Proportional to 263,987.78, 364,310.31 and 149,283.59

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Solution

The fourth proportional to 263,987.78, 364,310.31 and 149,283.59 is: 206,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,987.78 : 364,310.31 = 149,283.59 : x
  2. Step 2: Convert to fraction form
    263,987.78/364,310.31 = 149,283.59/x
  3. Step 3: Cross multiply
    263,987.78x = 364,310.31 × 149,283.59
  4. Step 4: Simplify right side
    263,987.78x = 54,385,550,950.81
  5. Step 5: Solve for x
    x = 54,385,550,950.81/263,987.78
  6. Step 6: Final answer
    x = 206,015.41

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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.