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Finding the Fourth Proportional to 493,175.88, 680,580.06 and 278,385.78

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Solution

The fourth proportional to 493,175.88, 680,580.06 and 278,385.78 is: 384,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,175.88 : 680,580.06 = 278,385.78 : x
  2. Step 2: Convert to fraction form
    493,175.88/680,580.06 = 278,385.78/x
  3. Step 3: Cross multiply
    493,175.88x = 680,580.06 × 278,385.78
  4. Step 4: Simplify right side
    493,175.88x = 189,463,810,855.55
  5. Step 5: Solve for x
    x = 189,463,810,855.55/493,175.88
  6. Step 6: Final answer
    x = 384,170.88

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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.