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Finding the Fourth Proportional to 330,379.94, 495,504.30 and 161,827.86

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Solution

The fourth proportional to 330,379.94, 495,504.30 and 161,827.86 is: 242,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,379.94 : 495,504.30 = 161,827.86 : x
  2. Step 2: Convert to fraction form
    330,379.94/495,504.30 = 161,827.86/x
  3. Step 3: Cross multiply
    330,379.94x = 495,504.30 × 161,827.86
  4. Step 4: Simplify right side
    330,379.94x = 80,186,400,489.80
  5. Step 5: Solve for x
    x = 80,186,400,489.80/330,379.94
  6. Step 6: Final answer
    x = 242,709.65

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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.