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Finding the Fourth Proportional to 253,448, 380,157.24 and 66,459.44

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Solution

The fourth proportional to 253,448, 380,157.24 and 66,459.44 is: 99,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,448 : 380,157.24 = 66,459.44 : x
  2. Step 2: Convert to fraction form
    253,448/380,157.24 = 66,459.44/x
  3. Step 3: Cross multiply
    253,448x = 380,157.24 × 66,459.44
  4. Step 4: Simplify right side
    253,448x = 25,265,037,282.35
  5. Step 5: Solve for x
    x = 25,265,037,282.35/253,448
  6. Step 6: Final answer
    x = 99,685.29

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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.