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Finding the Fourth Proportional to 548,991.31, 823,393.53 and 149,538.64

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Solution

The fourth proportional to 548,991.31, 823,393.53 and 149,538.64 is: 224,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,991.31 : 823,393.53 = 149,538.64 : x
  2. Step 2: Convert to fraction form
    548,991.31/823,393.53 = 149,538.64/x
  3. Step 3: Cross multiply
    548,991.31x = 823,393.53 × 149,538.64
  4. Step 4: Simplify right side
    548,991.31x = 123,129,148,661.00
  5. Step 5: Solve for x
    x = 123,129,148,661.00/548,991.31
  6. Step 6: Final answer
    x = 224,282.51

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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.