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Finding the Fourth Proportional to 442,906.56, 663,361.02 and 205,750.17

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Solution

The fourth proportional to 442,906.56, 663,361.02 and 205,750.17 is: 308,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.56 : 663,361.02 = 205,750.17 : x
  2. Step 2: Convert to fraction form
    442,906.56/663,361.02 = 205,750.17/x
  3. Step 3: Cross multiply
    442,906.56x = 663,361.02 × 205,750.17
  4. Step 4: Simplify right side
    442,906.56x = 136,486,642,636.37
  5. Step 5: Solve for x
    x = 136,486,642,636.37/442,906.56
  6. Step 6: Final answer
    x = 308,161.26

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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.