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Finding the Fourth Proportional to 279,046.89, 418,570.35 and 82,054.89

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Solution

The fourth proportional to 279,046.89, 418,570.35 and 82,054.89 is: 123,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,046.89 : 418,570.35 = 82,054.89 : x
  2. Step 2: Convert to fraction form
    279,046.89/418,570.35 = 82,054.89/x
  3. Step 3: Cross multiply
    279,046.89x = 418,570.35 × 82,054.89
  4. Step 4: Simplify right side
    279,046.89x = 34,345,744,026.51
  5. Step 5: Solve for x
    x = 34,345,744,026.51/279,046.89
  6. Step 6: Final answer
    x = 123,082.34

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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.