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Finding the Fourth Proportional to 320,805.76, 481,206.48 and 250,744

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Solution

The fourth proportional to 320,805.76, 481,206.48 and 250,744 is: 376,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,805.76 : 481,206.48 = 250,744 : x
  2. Step 2: Convert to fraction form
    320,805.76/481,206.48 = 250,744/x
  3. Step 3: Cross multiply
    320,805.76x = 481,206.48 × 250,744
  4. Step 4: Simplify right side
    320,805.76x = 120,659,637,621.12
  5. Step 5: Solve for x
    x = 120,659,637,621.12/320,805.76
  6. Step 6: Final answer
    x = 376,114.31

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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.