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Finding the Fourth Proportional to 258,676.84, 356,978.82 and 143,965

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Solution

The fourth proportional to 258,676.84, 356,978.82 and 143,965 is: 198,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,676.84 : 356,978.82 = 143,965 : x
  2. Step 2: Convert to fraction form
    258,676.84/356,978.82 = 143,965/x
  3. Step 3: Cross multiply
    258,676.84x = 356,978.82 × 143,965
  4. Step 4: Simplify right side
    258,676.84x = 51,392,455,821.30
  5. Step 5: Solve for x
    x = 51,392,455,821.30/258,676.84
  6. Step 6: Final answer
    x = 198,674.36

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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.