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Finding the Fourth Proportional to 285,940.77, 428,914.23 and 86,262.89

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Solution

The fourth proportional to 285,940.77, 428,914.23 and 86,262.89 is: 129,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,940.77 : 428,914.23 = 86,262.89 : x
  2. Step 2: Convert to fraction form
    285,940.77/428,914.23 = 86,262.89/x
  3. Step 3: Cross multiply
    285,940.77x = 428,914.23 × 86,262.89
  4. Step 4: Simplify right side
    285,940.77x = 36,999,378,897.35
  5. Step 5: Solve for x
    x = 36,999,378,897.35/285,940.77
  6. Step 6: Final answer
    x = 129,395.26

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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.