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Finding the Fourth Proportional to 408,520.38, 612,644.49 and 171,818.94

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Solution

The fourth proportional to 408,520.38, 612,644.49 and 171,818.94 is: 257,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,520.38 : 612,644.49 = 171,818.94 : x
  2. Step 2: Convert to fraction form
    408,520.38/612,644.49 = 171,818.94/x
  3. Step 3: Cross multiply
    408,520.38x = 612,644.49 × 171,818.94
  4. Step 4: Simplify right side
    408,520.38x = 105,263,926,868.64
  5. Step 5: Solve for x
    x = 105,263,926,868.64/408,520.38
  6. Step 6: Final answer
    x = 257,671.18

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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.