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Finding the Fourth Proportional to 552,728.09, 827,763.50 and 315,351.11

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Solution

The fourth proportional to 552,728.09, 827,763.50 and 315,351.11 is: 472,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,728.09 : 827,763.50 = 315,351.11 : x
  2. Step 2: Convert to fraction form
    552,728.09/827,763.50 = 315,351.11/x
  3. Step 3: Cross multiply
    552,728.09x = 827,763.50 × 315,351.11
  4. Step 4: Simplify right side
    552,728.09x = 261,036,138,542.49
  5. Step 5: Solve for x
    x = 261,036,138,542.49/552,728.09
  6. Step 6: Final answer
    x = 472,268.63

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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.