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Finding the Fourth Proportional to 311,234.51, 466,969.43 and 121,830.24

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Solution

The fourth proportional to 311,234.51, 466,969.43 and 121,830.24 is: 182,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,234.51 : 466,969.43 = 121,830.24 : x
  2. Step 2: Convert to fraction form
    311,234.51/466,969.43 = 121,830.24/x
  3. Step 3: Cross multiply
    311,234.51x = 466,969.43 × 121,830.24
  4. Step 4: Simplify right side
    311,234.51x = 56,890,997,729.56
  5. Step 5: Solve for x
    x = 56,890,997,729.56/311,234.51
  6. Step 6: Final answer
    x = 182,791.42

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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.