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Finding the Fourth Proportional to 284,627.60, 426,878.48 and 82,179.72

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Solution

The fourth proportional to 284,627.60, 426,878.48 and 82,179.72 is: 123,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,627.60 : 426,878.48 = 82,179.72 : x
  2. Step 2: Convert to fraction form
    284,627.60/426,878.48 = 82,179.72/x
  3. Step 3: Cross multiply
    284,627.60x = 426,878.48 × 82,179.72
  4. Step 4: Simplify right side
    284,627.60x = 35,080,753,960.43
  5. Step 5: Solve for x
    x = 35,080,753,960.43/284,627.60
  6. Step 6: Final answer
    x = 123,251.41

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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.