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Finding the Fourth Proportional to 393,218.27, 588,558.72 and 203,417.31

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Solution

The fourth proportional to 393,218.27, 588,558.72 and 203,417.31 is: 304,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,218.27 : 588,558.72 = 203,417.31 : x
  2. Step 2: Convert to fraction form
    393,218.27/588,558.72 = 203,417.31/x
  3. Step 3: Cross multiply
    393,218.27x = 588,558.72 × 203,417.31
  4. Step 4: Simplify right side
    393,218.27x = 119,723,032,883.53
  5. Step 5: Solve for x
    x = 119,723,032,883.53/393,218.27
  6. Step 6: Final answer
    x = 304,469.66

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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.