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Finding the Fourth Proportional to 408,629.76, 612,792.96 and 142,321.92

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Solution

The fourth proportional to 408,629.76, 612,792.96 and 142,321.92 is: 213,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,629.76 : 612,792.96 = 142,321.92 : x
  2. Step 2: Convert to fraction form
    408,629.76/612,792.96 = 142,321.92/x
  3. Step 3: Cross multiply
    408,629.76x = 612,792.96 × 142,321.92
  4. Step 4: Simplify right side
    408,629.76x = 87,213,870,629.68
  5. Step 5: Solve for x
    x = 87,213,870,629.68/408,629.76
  6. Step 6: Final answer
    x = 213,430.05

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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.