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Finding the Fourth Proportional to 284,633.92, 392,810 and 163,793.60

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Solution

The fourth proportional to 284,633.92, 392,810 and 163,793.60 is: 226,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,633.92 : 392,810 = 163,793.60 : x
  2. Step 2: Convert to fraction form
    284,633.92/392,810 = 163,793.60/x
  3. Step 3: Cross multiply
    284,633.92x = 392,810 × 163,793.60
  4. Step 4: Simplify right side
    284,633.92x = 64,339,764,016
  5. Step 5: Solve for x
    x = 64,339,764,016/284,633.92
  6. Step 6: Final answer
    x = 226,043.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.