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Finding the Fourth Proportional to 321,294.32, 481,175.39 and 186,072.68

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Solution

The fourth proportional to 321,294.32, 481,175.39 and 186,072.68 is: 278,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,294.32 : 481,175.39 = 186,072.68 : x
  2. Step 2: Convert to fraction form
    321,294.32/481,175.39 = 186,072.68/x
  3. Step 3: Cross multiply
    321,294.32x = 481,175.39 × 186,072.68
  4. Step 4: Simplify right side
    321,294.32x = 89,533,591,031.10
  5. Step 5: Solve for x
    x = 89,533,591,031.10/321,294.32
  6. Step 6: Final answer
    x = 278,665.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.