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Finding the Fourth Proportional to 393,442.94, 542,997.33 and 223,702.58

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Solution

The fourth proportional to 393,442.94, 542,997.33 and 223,702.58 is: 308,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,442.94 : 542,997.33 = 223,702.58 : x
  2. Step 2: Convert to fraction form
    393,442.94/542,997.33 = 223,702.58/x
  3. Step 3: Cross multiply
    393,442.94x = 542,997.33 × 223,702.58
  4. Step 4: Simplify right side
    393,442.94x = 121,469,903,654.11
  5. Step 5: Solve for x
    x = 121,469,903,654.11/393,442.94
  6. Step 6: Final answer
    x = 308,735.76

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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.