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Finding the Fourth Proportional to 285,568.21, 428,373.56 and 85,872.61

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Solution

The fourth proportional to 285,568.21, 428,373.56 and 85,872.61 is: 128,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,568.21 : 428,373.56 = 85,872.61 : x
  2. Step 2: Convert to fraction form
    285,568.21/428,373.56 = 85,872.61/x
  3. Step 3: Cross multiply
    285,568.21x = 428,373.56 × 85,872.61
  4. Step 4: Simplify right side
    285,568.21x = 36,785,555,222.83
  5. Step 5: Solve for x
    x = 36,785,555,222.83/285,568.21
  6. Step 6: Final answer
    x = 128,815.30

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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.