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Finding the Fourth Proportional to 419,745.12, 579,231.36 and 228,754.40

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Solution

The fourth proportional to 419,745.12, 579,231.36 and 228,754.40 is: 315,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,745.12 : 579,231.36 = 228,754.40 : x
  2. Step 2: Convert to fraction form
    419,745.12/579,231.36 = 228,754.40/x
  3. Step 3: Cross multiply
    419,745.12x = 579,231.36 × 228,754.40
  4. Step 4: Simplify right side
    419,745.12x = 132,501,722,217.98
  5. Step 5: Solve for x
    x = 132,501,722,217.98/419,745.12
  6. Step 6: Final answer
    x = 315,671.86

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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.