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Finding the Fourth Proportional to 274,678.48, 378,890.76 and 161,408.08

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Solution

The fourth proportional to 274,678.48, 378,890.76 and 161,408.08 is: 222,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,678.48 : 378,890.76 = 161,408.08 : x
  2. Step 2: Convert to fraction form
    274,678.48/378,890.76 = 161,408.08/x
  3. Step 3: Cross multiply
    274,678.48x = 378,890.76 × 161,408.08
  4. Step 4: Simplify right side
    274,678.48x = 61,156,030,101.34
  5. Step 5: Solve for x
    x = 61,156,030,101.34/274,678.48
  6. Step 6: Final answer
    x = 222,645.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.