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Finding the Fourth Proportional to 270,495.25, 405,769.91 and 92,978.89

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Solution

The fourth proportional to 270,495.25, 405,769.91 and 92,978.89 is: 139,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,495.25 : 405,769.91 = 92,978.89 : x
  2. Step 2: Convert to fraction form
    270,495.25/405,769.91 = 92,978.89/x
  3. Step 3: Cross multiply
    270,495.25x = 405,769.91 × 92,978.89
  4. Step 4: Simplify right side
    270,495.25x = 37,728,034,347.88
  5. Step 5: Solve for x
    x = 37,728,034,347.88/270,495.25
  6. Step 6: Final answer
    x = 139,477.62

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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.