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Finding the Fourth Proportional to 278,464.66, 417,757.70 and 158,578.25

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Solution

The fourth proportional to 278,464.66, 417,757.70 and 158,578.25 is: 237,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464.66 : 417,757.70 = 158,578.25 : x
  2. Step 2: Convert to fraction form
    278,464.66/417,757.70 = 158,578.25/x
  3. Step 3: Cross multiply
    278,464.66x = 417,757.70 × 158,578.25
  4. Step 4: Simplify right side
    278,464.66x = 66,247,283,297.68
  5. Step 5: Solve for x
    x = 66,247,283,297.68/278,464.66
  6. Step 6: Final answer
    x = 237,901.94

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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.