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Finding the Fourth Proportional to 408,022.80, 612,131.40 and 197,487.60

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Solution

The fourth proportional to 408,022.80, 612,131.40 and 197,487.60 is: 296,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.80 : 612,131.40 = 197,487.60 : x
  2. Step 2: Convert to fraction form
    408,022.80/612,131.40 = 197,487.60/x
  3. Step 3: Cross multiply
    408,022.80x = 612,131.40 × 197,487.60
  4. Step 4: Simplify right side
    408,022.80x = 120,888,361,070.64
  5. Step 5: Solve for x
    x = 120,888,361,070.64/408,022.80
  6. Step 6: Final answer
    x = 296,278.45

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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.