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Finding the Fourth Proportional to 284,579.76, 426,930.64 and 84,915.84

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Solution

The fourth proportional to 284,579.76, 426,930.64 and 84,915.84 is: 127,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,579.76 : 426,930.64 = 84,915.84 : x
  2. Step 2: Convert to fraction form
    284,579.76/426,930.64 = 84,915.84/x
  3. Step 3: Cross multiply
    284,579.76x = 426,930.64 × 84,915.84
  4. Step 4: Simplify right side
    284,579.76x = 36,253,173,917.34
  5. Step 5: Solve for x
    x = 36,253,173,917.34/284,579.76
  6. Step 6: Final answer
    x = 127,391.96

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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.