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Finding the Fourth Proportional to 408,378.06, 612,596.25 and 108,857.07

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Solution

The fourth proportional to 408,378.06, 612,596.25 and 108,857.07 is: 163,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,378.06 : 612,596.25 = 108,857.07 : x
  2. Step 2: Convert to fraction form
    408,378.06/612,596.25 = 108,857.07/x
  3. Step 3: Cross multiply
    408,378.06x = 612,596.25 × 108,857.07
  4. Step 4: Simplify right side
    408,378.06x = 66,685,432,867.99
  5. Step 5: Solve for x
    x = 66,685,432,867.99/408,378.06
  6. Step 6: Final answer
    x = 163,293.38

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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.