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Finding the Fourth Proportional to 321,203.80, 481,305.30 and 121,415.20

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Solution

The fourth proportional to 321,203.80, 481,305.30 and 121,415.20 is: 181,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,203.80 : 481,305.30 = 121,415.20 : x
  2. Step 2: Convert to fraction form
    321,203.80/481,305.30 = 121,415.20/x
  3. Step 3: Cross multiply
    321,203.80x = 481,305.30 × 121,415.20
  4. Step 4: Simplify right side
    321,203.80x = 58,437,779,260.56
  5. Step 5: Solve for x
    x = 58,437,779,260.56/321,203.80
  6. Step 6: Final answer
    x = 181,933.65

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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.