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Finding the Fourth Proportional to 613,180, 919,821.84 and 169,948

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Solution

The fourth proportional to 613,180, 919,821.84 and 169,948 is: 254,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,180 : 919,821.84 = 169,948 : x
  2. Step 2: Convert to fraction form
    613,180/919,821.84 = 169,948/x
  3. Step 3: Cross multiply
    613,180x = 919,821.84 × 169,948
  4. Step 4: Simplify right side
    613,180x = 156,321,882,064.32
  5. Step 5: Solve for x
    x = 156,321,882,064.32/613,180
  6. Step 6: Final answer
    x = 254,936.37

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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.