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Finding the Fourth Proportional to 418,093.53, 577,208.43 and 275,268.75

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Solution

The fourth proportional to 418,093.53, 577,208.43 and 275,268.75 is: 380,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,093.53 : 577,208.43 = 275,268.75 : x
  2. Step 2: Convert to fraction form
    418,093.53/577,208.43 = 275,268.75/x
  3. Step 3: Cross multiply
    418,093.53x = 577,208.43 × 275,268.75
  4. Step 4: Simplify right side
    418,093.53x = 158,887,443,015.56
  5. Step 5: Solve for x
    x = 158,887,443,015.56/418,093.53
  6. Step 6: Final answer
    x = 380,028.47

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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.