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Finding the Fourth Proportional to 456,866.58, 629,067.65 and 405,790.56

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Solution

The fourth proportional to 456,866.58, 629,067.65 and 405,790.56 is: 558,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,866.58 : 629,067.65 = 405,790.56 : x
  2. Step 2: Convert to fraction form
    456,866.58/629,067.65 = 405,790.56/x
  3. Step 3: Cross multiply
    456,866.58x = 629,067.65 × 405,790.56
  4. Step 4: Simplify right side
    456,866.58x = 255,269,715,936.93
  5. Step 5: Solve for x
    x = 255,269,715,936.93/456,866.58
  6. Step 6: Final answer
    x = 558,740.18

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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.