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Finding the Fourth Proportional to 358,736.20, 538,104.30 and 109,385.80

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Solution

The fourth proportional to 358,736.20, 538,104.30 and 109,385.80 is: 164,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,736.20 : 538,104.30 = 109,385.80 : x
  2. Step 2: Convert to fraction form
    358,736.20/538,104.30 = 109,385.80/x
  3. Step 3: Cross multiply
    358,736.20x = 538,104.30 × 109,385.80
  4. Step 4: Simplify right side
    358,736.20x = 58,860,969,338.94
  5. Step 5: Solve for x
    x = 58,860,969,338.94/358,736.20
  6. Step 6: Final answer
    x = 164,078.70

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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.