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Finding the Fourth Proportional to 263,431.86, 395,031.15 and 189,248.82

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Solution

The fourth proportional to 263,431.86, 395,031.15 and 189,248.82 is: 283,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,431.86 : 395,031.15 = 189,248.82 : x
  2. Step 2: Convert to fraction form
    263,431.86/395,031.15 = 189,248.82/x
  3. Step 3: Cross multiply
    263,431.86x = 395,031.15 × 189,248.82
  4. Step 4: Simplify right side
    263,431.86x = 74,759,179,000.74
  5. Step 5: Solve for x
    x = 74,759,179,000.74/263,431.86
  6. Step 6: Final answer
    x = 283,789.44

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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.