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Finding the Fourth Proportional to 312,638.59, 431,449.28 and 191,846.62

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Solution

The fourth proportional to 312,638.59, 431,449.28 and 191,846.62 is: 264,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,638.59 : 431,449.28 = 191,846.62 : x
  2. Step 2: Convert to fraction form
    312,638.59/431,449.28 = 191,846.62/x
  3. Step 3: Cross multiply
    312,638.59x = 431,449.28 × 191,846.62
  4. Step 4: Simplify right side
    312,638.59x = 82,772,086,069.43
  5. Step 5: Solve for x
    x = 82,772,086,069.43/312,638.59
  6. Step 6: Final answer
    x = 264,753.26

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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.