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Finding the Fourth Proportional to 270,994.37, 406,511.72 and 81,439.57

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Solution

The fourth proportional to 270,994.37, 406,511.72 and 81,439.57 is: 122,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,994.37 : 406,511.72 = 81,439.57 : x
  2. Step 2: Convert to fraction form
    270,994.37/406,511.72 = 81,439.57/x
  3. Step 3: Cross multiply
    270,994.37x = 406,511.72 × 81,439.57
  4. Step 4: Simplify right side
    270,994.37x = 33,106,138,253.28
  5. Step 5: Solve for x
    x = 33,106,138,253.28/270,994.37
  6. Step 6: Final answer
    x = 122,165.41

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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.