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Finding the Fourth Proportional to 408,163.38, 612,108.96 and 171,461.94

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Solution

The fourth proportional to 408,163.38, 612,108.96 and 171,461.94 is: 257,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,163.38 : 612,108.96 = 171,461.94 : x
  2. Step 2: Convert to fraction form
    408,163.38/612,108.96 = 171,461.94/x
  3. Step 3: Cross multiply
    408,163.38x = 612,108.96 × 171,461.94
  4. Step 4: Simplify right side
    408,163.38x = 104,953,389,772.98
  5. Step 5: Solve for x
    x = 104,953,389,772.98/408,163.38
  6. Step 6: Final answer
    x = 257,135.73

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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.