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Finding the Fourth Proportional to 408,350.88, 612,390.24 and 171,649.44

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Solution

The fourth proportional to 408,350.88, 612,390.24 and 171,649.44 is: 257,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,350.88 : 612,390.24 = 171,649.44 : x
  2. Step 2: Convert to fraction form
    408,350.88/612,390.24 = 171,649.44/x
  3. Step 3: Cross multiply
    408,350.88x = 612,390.24 × 171,649.44
  4. Step 4: Simplify right side
    408,350.88x = 105,116,441,757.47
  5. Step 5: Solve for x
    x = 105,116,441,757.47/408,350.88
  6. Step 6: Final answer
    x = 257,416.96

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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.