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Finding the Fourth Proportional to 493,613.88, 740,267.55 and 178,029.78

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Solution

The fourth proportional to 493,613.88, 740,267.55 and 178,029.78 is: 266,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,613.88 : 740,267.55 = 178,029.78 : x
  2. Step 2: Convert to fraction form
    493,613.88/740,267.55 = 178,029.78/x
  3. Step 3: Cross multiply
    493,613.88x = 740,267.55 × 178,029.78
  4. Step 4: Simplify right side
    493,613.88x = 131,789,669,067.64
  5. Step 5: Solve for x
    x = 131,789,669,067.64/493,613.88
  6. Step 6: Final answer
    x = 266,989.39

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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.