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Finding the Fourth Proportional to 511,754.39, 766,370.08 and 321,743.37

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Solution

The fourth proportional to 511,754.39, 766,370.08 and 321,743.37 is: 481,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,754.39 : 766,370.08 = 321,743.37 : x
  2. Step 2: Convert to fraction form
    511,754.39/766,370.08 = 321,743.37/x
  3. Step 3: Cross multiply
    511,754.39x = 766,370.08 × 321,743.37
  4. Step 4: Simplify right side
    511,754.39x = 246,574,492,206.37
  5. Step 5: Solve for x
    x = 246,574,492,206.37/511,754.39
  6. Step 6: Final answer
    x = 481,821.94

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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.