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Finding the Fourth Proportional to 408,049.35, 612,074.03 and 405,424.95

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Solution

The fourth proportional to 408,049.35, 612,074.03 and 405,424.95 is: 608,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.35 : 612,074.03 = 405,424.95 : x
  2. Step 2: Convert to fraction form
    408,049.35/612,074.03 = 405,424.95/x
  3. Step 3: Cross multiply
    408,049.35x = 612,074.03 × 405,424.95
  4. Step 4: Simplify right side
    408,049.35x = 248,150,080,981.92
  5. Step 5: Solve for x
    x = 248,150,080,981.92/408,049.35
  6. Step 6: Final answer
    x = 608,137.43

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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.