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Finding the Fourth Proportional to 321,202.65, 481,617.22 and 121,538.46

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Solution

The fourth proportional to 321,202.65, 481,617.22 and 121,538.46 is: 182,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202.65 : 481,617.22 = 121,538.46 : x
  2. Step 2: Convert to fraction form
    321,202.65/481,617.22 = 121,538.46/x
  3. Step 3: Cross multiply
    321,202.65x = 481,617.22 × 121,538.46
  4. Step 4: Simplify right side
    321,202.65x = 58,535,015,228.28
  5. Step 5: Solve for x
    x = 58,535,015,228.28/321,202.65
  6. Step 6: Final answer
    x = 182,237.02

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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.