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Finding the Fourth Proportional to 408,564.81, 612,847.22 and 128,104.65

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Solution

The fourth proportional to 408,564.81, 612,847.22 and 128,104.65 is: 192,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,564.81 : 612,847.22 = 128,104.65 : x
  2. Step 2: Convert to fraction form
    408,564.81/612,847.22 = 128,104.65/x
  3. Step 3: Cross multiply
    408,564.81x = 612,847.22 × 128,104.65
  4. Step 4: Simplify right side
    408,564.81x = 78,508,577,981.05
  5. Step 5: Solve for x
    x = 78,508,577,981.05/408,564.81
  6. Step 6: Final answer
    x = 192,156.98

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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.