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Finding the Fourth Proportional to 285,469.25, 428,187.40 and 85,785.35

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Solution

The fourth proportional to 285,469.25, 428,187.40 and 85,785.35 is: 128,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,469.25 : 428,187.40 = 85,785.35 : x
  2. Step 2: Convert to fraction form
    285,469.25/428,187.40 = 85,785.35/x
  3. Step 3: Cross multiply
    285,469.25x = 428,187.40 × 85,785.35
  4. Step 4: Simplify right side
    285,469.25x = 36,732,205,974.59
  5. Step 5: Solve for x
    x = 36,732,205,974.59/285,469.25
  6. Step 6: Final answer
    x = 128,673.07

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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.