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Finding the Fourth Proportional to 442,777.80, 664,361.10 and 205,998.60

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Solution

The fourth proportional to 442,777.80, 664,361.10 and 205,998.60 is: 309,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,777.80 : 664,361.10 = 205,998.60 : x
  2. Step 2: Convert to fraction form
    442,777.80/664,361.10 = 205,998.60/x
  3. Step 3: Cross multiply
    442,777.80x = 664,361.10 × 205,998.60
  4. Step 4: Simplify right side
    442,777.80x = 136,857,456,494.46
  5. Step 5: Solve for x
    x = 136,857,456,494.46/442,777.80
  6. Step 6: Final answer
    x = 309,088.34

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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.