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Finding the Fourth Proportional to 463,166.50, 639,169.78 and 251,198.50

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Solution

The fourth proportional to 463,166.50, 639,169.78 and 251,198.50 is: 346,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,166.50 : 639,169.78 = 251,198.50 : x
  2. Step 2: Convert to fraction form
    463,166.50/639,169.78 = 251,198.50/x
  3. Step 3: Cross multiply
    463,166.50x = 639,169.78 × 251,198.50
  4. Step 4: Simplify right side
    463,166.50x = 160,558,489,981.33
  5. Step 5: Solve for x
    x = 160,558,489,981.33/463,166.50
  6. Step 6: Final answer
    x = 346,653.94

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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.