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Finding the Fourth Proportional to 445,081.78, 667,706.34 and 178,863.40

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Solution

The fourth proportional to 445,081.78, 667,706.34 and 178,863.40 is: 268,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,081.78 : 667,706.34 = 178,863.40 : x
  2. Step 2: Convert to fraction form
    445,081.78/667,706.34 = 178,863.40/x
  3. Step 3: Cross multiply
    445,081.78x = 667,706.34 × 178,863.40
  4. Step 4: Simplify right side
    445,081.78x = 119,428,226,173.96
  5. Step 5: Solve for x
    x = 119,428,226,173.96/445,081.78
  6. Step 6: Final answer
    x = 268,328.72

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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.