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Finding the Fourth Proportional to 285,835.73, 428,754.10 and 86,213.26

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Solution

The fourth proportional to 285,835.73, 428,754.10 and 86,213.26 is: 129,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,835.73 : 428,754.10 = 86,213.26 : x
  2. Step 2: Convert to fraction form
    285,835.73/428,754.10 = 86,213.26/x
  3. Step 3: Cross multiply
    285,835.73x = 428,754.10 × 86,213.26
  4. Step 4: Simplify right side
    285,835.73x = 36,964,286,555.60
  5. Step 5: Solve for x
    x = 36,964,286,555.60/285,835.73
  6. Step 6: Final answer
    x = 129,320.03

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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.