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Finding the Fourth Proportional to 376,782.56, 565,086.16 and 140,236.64

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Solution

The fourth proportional to 376,782.56, 565,086.16 and 140,236.64 is: 210,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,782.56 : 565,086.16 = 140,236.64 : x
  2. Step 2: Convert to fraction form
    376,782.56/565,086.16 = 140,236.64/x
  3. Step 3: Cross multiply
    376,782.56x = 565,086.16 × 140,236.64
  4. Step 4: Simplify right side
    376,782.56x = 79,245,784,388.90
  5. Step 5: Solve for x
    x = 79,245,784,388.90/376,782.56
  6. Step 6: Final answer
    x = 210,322.33

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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.