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Finding the Fourth Proportional to 403,702.30, 557,109.69 and 219,939.96

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Solution

The fourth proportional to 403,702.30, 557,109.69 and 219,939.96 is: 303,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,702.30 : 557,109.69 = 219,939.96 : x
  2. Step 2: Convert to fraction form
    403,702.30/557,109.69 = 219,939.96/x
  3. Step 3: Cross multiply
    403,702.30x = 557,109.69 × 219,939.96
  4. Step 4: Simplify right side
    403,702.30x = 122,530,682,934.21
  5. Step 5: Solve for x
    x = 122,530,682,934.21/403,702.30
  6. Step 6: Final answer
    x = 303,517.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.