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Finding the Fourth Proportional to 493,356.12, 680,782.38 and 278,454.78

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Solution

The fourth proportional to 493,356.12, 680,782.38 and 278,454.78 is: 384,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,356.12 : 680,782.38 = 278,454.78 : x
  2. Step 2: Convert to fraction form
    493,356.12/680,782.38 = 278,454.78/x
  3. Step 3: Cross multiply
    493,356.12x = 680,782.38 × 278,454.78
  4. Step 4: Simplify right side
    493,356.12x = 189,567,107,850.78
  5. Step 5: Solve for x
    x = 189,567,107,850.78/493,356.12
  6. Step 6: Final answer
    x = 384,239.90

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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.