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Finding the Fourth Proportional to 321,471.56, 481,261.40 and 214,590.41

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Solution

The fourth proportional to 321,471.56, 481,261.40 and 214,590.41 is: 321,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,471.56 : 481,261.40 = 214,590.41 : x
  2. Step 2: Convert to fraction form
    321,471.56/481,261.40 = 214,590.41/x
  3. Step 3: Cross multiply
    321,471.56x = 481,261.40 × 214,590.41
  4. Step 4: Simplify right side
    321,471.56x = 103,274,081,143.17
  5. Step 5: Solve for x
    x = 103,274,081,143.17/321,471.56
  6. Step 6: Final answer
    x = 321,254.18

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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.