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Finding the Fourth Proportional to 280,951.88, 421,428.22 and 114,739.88

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Solution

The fourth proportional to 280,951.88, 421,428.22 and 114,739.88 is: 172,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,951.88 : 421,428.22 = 114,739.88 : x
  2. Step 2: Convert to fraction form
    280,951.88/421,428.22 = 114,739.88/x
  3. Step 3: Cross multiply
    280,951.88x = 421,428.22 × 114,739.88
  4. Step 4: Simplify right side
    280,951.88x = 48,354,620,997.42
  5. Step 5: Solve for x
    x = 48,354,620,997.42/280,951.88
  6. Step 6: Final answer
    x = 172,109.98

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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.