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Finding the Fourth Proportional to 456,111, 629,452.62 and 254,907

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Solution

The fourth proportional to 456,111, 629,452.62 and 254,907 is: 351,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,111 : 629,452.62 = 254,907 : x
  2. Step 2: Convert to fraction form
    456,111/629,452.62 = 254,907/x
  3. Step 3: Cross multiply
    456,111x = 629,452.62 × 254,907
  4. Step 4: Simplify right side
    456,111x = 160,451,879,006.34
  5. Step 5: Solve for x
    x = 160,451,879,006.34/456,111
  6. Step 6: Final answer
    x = 351,782.52

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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.