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Finding the Fourth Proportional to 275,961.50, 380,827.23 and 156,729.50

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Solution

The fourth proportional to 275,961.50, 380,827.23 and 156,729.50 is: 216,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,961.50 : 380,827.23 = 156,729.50 : x
  2. Step 2: Convert to fraction form
    275,961.50/380,827.23 = 156,729.50/x
  3. Step 3: Cross multiply
    275,961.50x = 380,827.23 × 156,729.50
  4. Step 4: Simplify right side
    275,961.50x = 59,686,861,344.29
  5. Step 5: Solve for x
    x = 59,686,861,344.29/275,961.50
  6. Step 6: Final answer
    x = 216,286.91

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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.