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Finding the Fourth Proportional to 278,468.91, 384,287.46 and 151,144.50

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Solution

The fourth proportional to 278,468.91, 384,287.46 and 151,144.50 is: 208,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,468.91 : 384,287.46 = 151,144.50 : x
  2. Step 2: Convert to fraction form
    278,468.91/384,287.46 = 151,144.50/x
  3. Step 3: Cross multiply
    278,468.91x = 384,287.46 × 151,144.50
  4. Step 4: Simplify right side
    278,468.91x = 58,082,935,997.97
  5. Step 5: Solve for x
    x = 58,082,935,997.97/278,468.91
  6. Step 6: Final answer
    x = 208,579.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.