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Finding the Fourth Proportional to 285,940.61, 428,914.00 and 86,262.73

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Solution

The fourth proportional to 285,940.61, 428,914.00 and 86,262.73 is: 129,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,940.61 : 428,914.00 = 86,262.73 : x
  2. Step 2: Convert to fraction form
    285,940.61/428,914.00 = 86,262.73/x
  3. Step 3: Cross multiply
    285,940.61x = 428,914.00 × 86,262.73
  4. Step 4: Simplify right side
    285,940.61x = 36,999,291,125.54
  5. Step 5: Solve for x
    x = 36,999,291,125.54/285,940.61
  6. Step 6: Final answer
    x = 129,395.02

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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.