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Finding the Fourth Proportional to 511,878.15, 768,400.43 and 301,634.55

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Solution

The fourth proportional to 511,878.15, 768,400.43 and 301,634.55 is: 452,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,878.15 : 768,400.43 = 301,634.55 : x
  2. Step 2: Convert to fraction form
    511,878.15/768,400.43 = 301,634.55/x
  3. Step 3: Cross multiply
    511,878.15x = 768,400.43 × 301,634.55
  4. Step 4: Simplify right side
    511,878.15x = 231,776,116,414.68
  5. Step 5: Solve for x
    x = 231,776,116,414.68/511,878.15
  6. Step 6: Final answer
    x = 452,795.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.