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Finding the Fourth Proportional to 275,578.43, 380,268.78 and 154,733

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Solution

The fourth proportional to 275,578.43, 380,268.78 and 154,733 is: 213,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,578.43 : 380,268.78 = 154,733 : x
  2. Step 2: Convert to fraction form
    275,578.43/380,268.78 = 154,733/x
  3. Step 3: Cross multiply
    275,578.43x = 380,268.78 × 154,733
  4. Step 4: Simplify right side
    275,578.43x = 58,840,129,135.74
  5. Step 5: Solve for x
    x = 58,840,129,135.74/275,578.43
  6. Step 6: Final answer
    x = 213,515.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.