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Finding the Fourth Proportional to 303,508.64, 418,768.40 and 194,563.20

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Solution

The fourth proportional to 303,508.64, 418,768.40 and 194,563.20 is: 268,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,508.64 : 418,768.40 = 194,563.20 : x
  2. Step 2: Convert to fraction form
    303,508.64/418,768.40 = 194,563.20/x
  3. Step 3: Cross multiply
    303,508.64x = 418,768.40 × 194,563.20
  4. Step 4: Simplify right side
    303,508.64x = 81,476,919,962.88
  5. Step 5: Solve for x
    x = 81,476,919,962.88/303,508.64
  6. Step 6: Final answer
    x = 268,450.08

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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.