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Finding the Fourth Proportional to 321,200.70, 481,282.65 and 202,659.90

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Solution

The fourth proportional to 321,200.70, 481,282.65 and 202,659.90 is: 303,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,200.70 : 481,282.65 = 202,659.90 : x
  2. Step 2: Convert to fraction form
    321,200.70/481,282.65 = 202,659.90/x
  3. Step 3: Cross multiply
    321,200.70x = 481,282.65 × 202,659.90
  4. Step 4: Simplify right side
    321,200.70x = 97,536,693,720.74
  5. Step 5: Solve for x
    x = 97,536,693,720.74/321,200.70
  6. Step 6: Final answer
    x = 303,662.77

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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.