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Finding the Fourth Proportional to 479,382.96, 661,588.92 and 278,166

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Solution

The fourth proportional to 479,382.96, 661,588.92 and 278,166 is: 383,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,382.96 : 661,588.92 = 278,166 : x
  2. Step 2: Convert to fraction form
    479,382.96/661,588.92 = 278,166/x
  3. Step 3: Cross multiply
    479,382.96x = 661,588.92 × 278,166
  4. Step 4: Simplify right side
    479,382.96x = 184,031,543,520.72
  5. Step 5: Solve for x
    x = 184,031,543,520.72/479,382.96
  6. Step 6: Final answer
    x = 383,892.54

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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.