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Finding the Fourth Proportional to 418,823.30, 628,226.84 and 119,305.82

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Solution

The fourth proportional to 418,823.30, 628,226.84 and 119,305.82 is: 178,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,823.30 : 628,226.84 = 119,305.82 : x
  2. Step 2: Convert to fraction form
    418,823.30/628,226.84 = 119,305.82/x
  3. Step 3: Cross multiply
    418,823.30x = 628,226.84 × 119,305.82
  4. Step 4: Simplify right side
    418,823.30x = 74,951,114,554.55
  5. Step 5: Solve for x
    x = 74,951,114,554.55/418,823.30
  6. Step 6: Final answer
    x = 178,956.41

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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.