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Finding the Fourth Proportional to 284,611.62, 426,854.54 and 82,163.72

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Solution

The fourth proportional to 284,611.62, 426,854.54 and 82,163.72 is: 123,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,611.62 : 426,854.54 = 82,163.72 : x
  2. Step 2: Convert to fraction form
    284,611.62/426,854.54 = 82,163.72/x
  3. Step 3: Cross multiply
    284,611.62x = 426,854.54 × 82,163.72
  4. Step 4: Simplify right side
    284,611.62x = 35,071,956,905.29
  5. Step 5: Solve for x
    x = 35,071,956,905.29/284,611.62
  6. Step 6: Final answer
    x = 123,227.42

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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.