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Finding the Fourth Proportional to 493,718.88, 681,327 and 278,858.28

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Solution

The fourth proportional to 493,718.88, 681,327 and 278,858.28 is: 384,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,718.88 : 681,327 = 278,858.28 : x
  2. Step 2: Convert to fraction form
    493,718.88/681,327 = 278,858.28/x
  3. Step 3: Cross multiply
    493,718.88x = 681,327 × 278,858.28
  4. Step 4: Simplify right side
    493,718.88x = 189,993,675,337.56
  5. Step 5: Solve for x
    x = 189,993,675,337.56/493,718.88
  6. Step 6: Final answer
    x = 384,821.57

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1.5x scale

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.