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Finding the Fourth Proportional to 493,172.88, 680,575.92 and 278,382.78

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Solution

The fourth proportional to 493,172.88, 680,575.92 and 278,382.78 is: 384,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,172.88 : 680,575.92 = 278,382.78 : x
  2. Step 2: Convert to fraction form
    493,172.88/680,575.92 = 278,382.78/x
  3. Step 3: Cross multiply
    493,172.88x = 680,575.92 × 278,382.78
  4. Step 4: Simplify right side
    493,172.88x = 189,460,616,610.66
  5. Step 5: Solve for x
    x = 189,460,616,610.66/493,172.88
  6. Step 6: Final answer
    x = 384,166.74

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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.