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Finding the Fourth Proportional to 270,930.36, 406,424.34 and 83,956.44

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Solution

The fourth proportional to 270,930.36, 406,424.34 and 83,956.44 is: 125,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,930.36 : 406,424.34 = 83,956.44 : x
  2. Step 2: Convert to fraction form
    270,930.36/406,424.34 = 83,956.44/x
  3. Step 3: Cross multiply
    270,930.36x = 406,424.34 × 83,956.44
  4. Step 4: Simplify right side
    270,930.36x = 34,121,940,715.75
  5. Step 5: Solve for x
    x = 34,121,940,715.75/270,930.36
  6. Step 6: Final answer
    x = 125,943.58

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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.