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Finding the Fourth Proportional to 408,200.80, 612,289.92 and 108,684

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Solution

The fourth proportional to 408,200.80, 612,289.92 and 108,684 is: 163,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,200.80 : 612,289.92 = 108,684 : x
  2. Step 2: Convert to fraction form
    408,200.80/612,289.92 = 108,684/x
  3. Step 3: Cross multiply
    408,200.80x = 612,289.92 × 108,684
  4. Step 4: Simplify right side
    408,200.80x = 66,546,117,665.28
  5. Step 5: Solve for x
    x = 66,546,117,665.28/408,200.80
  6. Step 6: Final answer
    x = 163,023.00

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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.