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Finding the Fourth Proportional to 511,741.98, 766,351.48 and 321,730.96

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Solution

The fourth proportional to 511,741.98, 766,351.48 and 321,730.96 is: 481,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,741.98 : 766,351.48 = 321,730.96 : x
  2. Step 2: Convert to fraction form
    511,741.98/766,351.48 = 321,730.96/x
  3. Step 3: Cross multiply
    511,741.98x = 766,351.48 × 321,730.96
  4. Step 4: Simplify right side
    511,741.98x = 246,558,997,357.82
  5. Step 5: Solve for x
    x = 246,558,997,357.82/511,741.98
  6. Step 6: Final answer
    x = 481,803.34

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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.