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Finding the Fourth Proportional to 463,471, 639,589.98 and 251,503

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Solution

The fourth proportional to 463,471, 639,589.98 and 251,503 is: 347,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,471 : 639,589.98 = 251,503 : x
  2. Step 2: Convert to fraction form
    463,471/639,589.98 = 251,503/x
  3. Step 3: Cross multiply
    463,471x = 639,589.98 × 251,503
  4. Step 4: Simplify right side
    463,471x = 160,858,798,739.94
  5. Step 5: Solve for x
    x = 160,858,798,739.94/463,471
  6. Step 6: Final answer
    x = 347,074.14

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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.