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Finding the Fourth Proportional to 285,846.48, 428,770.26 and 86,224.01

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Solution

The fourth proportional to 285,846.48, 428,770.26 and 86,224.01 is: 129,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,846.48 : 428,770.26 = 86,224.01 : x
  2. Step 2: Convert to fraction form
    285,846.48/428,770.26 = 86,224.01/x
  3. Step 3: Cross multiply
    285,846.48x = 428,770.26 × 86,224.01
  4. Step 4: Simplify right side
    285,846.48x = 36,970,289,042.09
  5. Step 5: Solve for x
    x = 36,970,289,042.09/285,846.48
  6. Step 6: Final answer
    x = 129,336.17

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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.