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Finding the Fourth Proportional to 285,727.64, 428,549.34 and 75,380.36

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Solution

The fourth proportional to 285,727.64, 428,549.34 and 75,380.36 is: 113,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,727.64 : 428,549.34 = 75,380.36 : x
  2. Step 2: Convert to fraction form
    285,727.64/428,549.34 = 75,380.36/x
  3. Step 3: Cross multiply
    285,727.64x = 428,549.34 × 75,380.36
  4. Step 4: Simplify right side
    285,727.64x = 32,304,203,526.96
  5. Step 5: Solve for x
    x = 32,304,203,526.96/285,727.64
  6. Step 6: Final answer
    x = 113,059.43

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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.