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Finding the Fourth Proportional to 493,476.52, 680,997.90 and 278,617

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Solution

The fourth proportional to 493,476.52, 680,997.90 and 278,617 is: 384,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,476.52 : 680,997.90 = 278,617 : x
  2. Step 2: Convert to fraction form
    493,476.52/680,997.90 = 278,617/x
  3. Step 3: Cross multiply
    493,476.52x = 680,997.90 × 278,617
  4. Step 4: Simplify right side
    493,476.52x = 189,737,591,904.30
  5. Step 5: Solve for x
    x = 189,737,591,904.30/493,476.52
  6. Step 6: Final answer
    x = 384,491.63

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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.