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Finding the Fourth Proportional to 493,468.52, 680,986.86 and 278,609

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Solution

The fourth proportional to 493,468.52, 680,986.86 and 278,609 is: 384,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,468.52 : 680,986.86 = 278,609 : x
  2. Step 2: Convert to fraction form
    493,468.52/680,986.86 = 278,609/x
  3. Step 3: Cross multiply
    493,468.52x = 680,986.86 × 278,609
  4. Step 4: Simplify right side
    493,468.52x = 189,729,068,077.74
  5. Step 5: Solve for x
    x = 189,729,068,077.74/493,468.52
  6. Step 6: Final answer
    x = 384,480.59

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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.