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Finding the Fourth Proportional to 507,216.42, 699,958.62 and 280,861.92

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Solution

The fourth proportional to 507,216.42, 699,958.62 and 280,861.92 is: 387,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,216.42 : 699,958.62 = 280,861.92 : x
  2. Step 2: Convert to fraction form
    507,216.42/699,958.62 = 280,861.92/x
  3. Step 3: Cross multiply
    507,216.42x = 699,958.62 × 280,861.92
  4. Step 4: Simplify right side
    507,216.42x = 196,591,721,933.75
  5. Step 5: Solve for x
    x = 196,591,721,933.75/507,216.42
  6. Step 6: Final answer
    x = 387,589.43

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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.