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Finding the Fourth Proportional to 511,670.21, 706,016.79 and 328,069.34

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Solution

The fourth proportional to 511,670.21, 706,016.79 and 328,069.34 is: 452,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,670.21 : 706,016.79 = 328,069.34 : x
  2. Step 2: Convert to fraction form
    511,670.21/706,016.79 = 328,069.34/x
  3. Step 3: Cross multiply
    511,670.21x = 706,016.79 × 328,069.34
  4. Step 4: Simplify right side
    511,670.21x = 231,622,462,324.22
  5. Step 5: Solve for x
    x = 231,622,462,324.22/511,670.21
  6. Step 6: Final answer
    x = 452,679.20

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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.