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Finding the Fourth Proportional to 270,217.04, 405,228.36 and 92,678

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Solution

The fourth proportional to 270,217.04, 405,228.36 and 92,678 is: 138,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,217.04 : 405,228.36 = 92,678 : x
  2. Step 2: Convert to fraction form
    270,217.04/405,228.36 = 92,678/x
  3. Step 3: Cross multiply
    270,217.04x = 405,228.36 × 92,678
  4. Step 4: Simplify right side
    270,217.04x = 37,555,753,948.08
  5. Step 5: Solve for x
    x = 37,555,753,948.08/270,217.04
  6. Step 6: Final answer
    x = 138,983.66

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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.