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Finding the Fourth Proportional to 275,439.82, 413,112.21 and 73,037.35

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Solution

The fourth proportional to 275,439.82, 413,112.21 and 73,037.35 is: 109,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,439.82 : 413,112.21 = 73,037.35 : x
  2. Step 2: Convert to fraction form
    275,439.82/413,112.21 = 73,037.35/x
  3. Step 3: Cross multiply
    275,439.82x = 413,112.21 × 73,037.35
  4. Step 4: Simplify right side
    275,439.82x = 30,172,621,071.04
  5. Step 5: Solve for x
    x = 30,172,621,071.04/275,439.82
  6. Step 6: Final answer
    x = 109,543.42

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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.