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Finding the Fourth Proportional to 231,814.82, 319,791.56 and 151,205.78

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Solution

The fourth proportional to 231,814.82, 319,791.56 and 151,205.78 is: 208,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,814.82 : 319,791.56 = 151,205.78 : x
  2. Step 2: Convert to fraction form
    231,814.82/319,791.56 = 151,205.78/x
  3. Step 3: Cross multiply
    231,814.82x = 319,791.56 × 151,205.78
  4. Step 4: Simplify right side
    231,814.82x = 48,354,332,267.22
  5. Step 5: Solve for x
    x = 48,354,332,267.22/231,814.82
  6. Step 6: Final answer
    x = 208,590.34

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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.