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Finding the Fourth Proportional to 285,663.49, 428,796.55 and 279,229.52

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Solution

The fourth proportional to 285,663.49, 428,796.55 and 279,229.52 is: 419,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,663.49 : 428,796.55 = 279,229.52 : x
  2. Step 2: Convert to fraction form
    285,663.49/428,796.55 = 279,229.52/x
  3. Step 3: Cross multiply
    285,663.49x = 428,796.55 × 279,229.52
  4. Step 4: Simplify right side
    285,663.49x = 119,732,654,834.16
  5. Step 5: Solve for x
    x = 119,732,654,834.16/285,663.49
  6. Step 6: Final answer
    x = 419,138.81

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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.