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Finding the Fourth Proportional to 393,221.25, 588,563.16 and 203,420.25

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Solution

The fourth proportional to 393,221.25, 588,563.16 and 203,420.25 is: 304,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,221.25 : 588,563.16 = 203,420.25 : x
  2. Step 2: Convert to fraction form
    393,221.25/588,563.16 = 203,420.25/x
  3. Step 3: Cross multiply
    393,221.25x = 588,563.16 × 203,420.25
  4. Step 4: Simplify right side
    393,221.25x = 119,725,665,147.99
  5. Step 5: Solve for x
    x = 119,725,665,147.99/393,221.25
  6. Step 6: Final answer
    x = 304,474.05

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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.