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Finding the Fourth Proportional to 445,142.71, 667,744.89 and 178,903.45

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Solution

The fourth proportional to 445,142.71, 667,744.89 and 178,903.45 is: 268,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,142.71 : 667,744.89 = 178,903.45 : x
  2. Step 2: Convert to fraction form
    445,142.71/667,744.89 = 178,903.45/x
  3. Step 3: Cross multiply
    445,142.71x = 667,744.89 × 178,903.45
  4. Step 4: Simplify right side
    445,142.71x = 119,461,864,540.87
  5. Step 5: Solve for x
    x = 119,461,864,540.87/445,142.71
  6. Step 6: Final answer
    x = 268,367.56

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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.