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Finding the Fourth Proportional to 511,067.40, 705,277.74 and 281,632.88

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Solution

The fourth proportional to 511,067.40, 705,277.74 and 281,632.88 is: 388,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,067.40 : 705,277.74 = 281,632.88 : x
  2. Step 2: Convert to fraction form
    511,067.40/705,277.74 = 281,632.88/x
  3. Step 3: Cross multiply
    511,067.40x = 705,277.74 × 281,632.88
  4. Step 4: Simplify right side
    511,067.40x = 198,629,401,116.09
  5. Step 5: Solve for x
    x = 198,629,401,116.09/511,067.40
  6. Step 6: Final answer
    x = 388,655.98

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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.