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Finding the Fourth Proportional to 285,729.64, 428,552.34 and 75,382.36

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Solution

The fourth proportional to 285,729.64, 428,552.34 and 75,382.36 is: 113,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,729.64 : 428,552.34 = 75,382.36 : x
  2. Step 2: Convert to fraction form
    285,729.64/428,552.34 = 75,382.36/x
  3. Step 3: Cross multiply
    285,729.64x = 428,552.34 × 75,382.36
  4. Step 4: Simplify right side
    285,729.64x = 32,305,286,772.72
  5. Step 5: Solve for x
    x = 32,305,286,772.72/285,729.64
  6. Step 6: Final answer
    x = 113,062.43

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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.