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Finding the Fourth Proportional to 458,832.11, 687,471.45 and 280,967.64

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Solution

The fourth proportional to 458,832.11, 687,471.45 and 280,967.64 is: 420,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,832.11 : 687,471.45 = 280,967.64 : x
  2. Step 2: Convert to fraction form
    458,832.11/687,471.45 = 280,967.64/x
  3. Step 3: Cross multiply
    458,832.11x = 687,471.45 × 280,967.64
  4. Step 4: Simplify right side
    458,832.11x = 193,157,230,873.88
  5. Step 5: Solve for x
    x = 193,157,230,873.88/458,832.11
  6. Step 6: Final answer
    x = 420,975.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.