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Finding the Fourth Proportional to 274,687.20, 411,723.60 and 156,415.20

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Solution

The fourth proportional to 274,687.20, 411,723.60 and 156,415.20 is: 234,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,687.20 : 411,723.60 = 156,415.20 : x
  2. Step 2: Convert to fraction form
    274,687.20/411,723.60 = 156,415.20/x
  3. Step 3: Cross multiply
    274,687.20x = 411,723.60 × 156,415.20
  4. Step 4: Simplify right side
    274,687.20x = 64,399,829,238.72
  5. Step 5: Solve for x
    x = 64,399,829,238.72/274,687.20
  6. Step 6: Final answer
    x = 234,447.87

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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.