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Finding the Fourth Proportional to 431,715, 595,766.70 and 252,867

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Solution

The fourth proportional to 431,715, 595,766.70 and 252,867 is: 348,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,715 : 595,766.70 = 252,867 : x
  2. Step 2: Convert to fraction form
    431,715/595,766.70 = 252,867/x
  3. Step 3: Cross multiply
    431,715x = 595,766.70 × 252,867
  4. Step 4: Simplify right side
    431,715x = 150,649,738,128.90
  5. Step 5: Solve for x
    x = 150,649,738,128.90/431,715
  6. Step 6: Final answer
    x = 348,956.46

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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.