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Finding the Fourth Proportional to 408,665.80, 612,998.70 and 282,694.60

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Solution

The fourth proportional to 408,665.80, 612,998.70 and 282,694.60 is: 424,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,665.80 : 612,998.70 = 282,694.60 : x
  2. Step 2: Convert to fraction form
    408,665.80/612,998.70 = 282,694.60/x
  3. Step 3: Cross multiply
    408,665.80x = 612,998.70 × 282,694.60
  4. Step 4: Simplify right side
    408,665.80x = 173,291,422,297.02
  5. Step 5: Solve for x
    x = 173,291,422,297.02/408,665.80
  6. Step 6: Final answer
    x = 424,041.90

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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.