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Finding the Fourth Proportional to 310,676.36, 428,855.52 and 195,932.16

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Solution

The fourth proportional to 310,676.36, 428,855.52 and 195,932.16 is: 270,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,676.36 : 428,855.52 = 195,932.16 : x
  2. Step 2: Convert to fraction form
    310,676.36/428,855.52 = 195,932.16/x
  3. Step 3: Cross multiply
    310,676.36x = 428,855.52 × 195,932.16
  4. Step 4: Simplify right side
    310,676.36x = 84,026,588,361.52
  5. Step 5: Solve for x
    x = 84,026,588,361.52/310,676.36
  6. Step 6: Final answer
    x = 270,463.42

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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.