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Finding the Fourth Proportional to 308,900, 426,279.12 and 174,764

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Solution

The fourth proportional to 308,900, 426,279.12 and 174,764 is: 241,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,900 : 426,279.12 = 174,764 : x
  2. Step 2: Convert to fraction form
    308,900/426,279.12 = 174,764/x
  3. Step 3: Cross multiply
    308,900x = 426,279.12 × 174,764
  4. Step 4: Simplify right side
    308,900x = 74,498,244,127.68
  5. Step 5: Solve for x
    x = 74,498,244,127.68/308,900
  6. Step 6: Final answer
    x = 241,172.69

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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.