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Finding the Fourth Proportional to 493,335.36, 680,833.44 and 278,397

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Solution

The fourth proportional to 493,335.36, 680,833.44 and 278,397 is: 384,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,335.36 : 680,833.44 = 278,397 : x
  2. Step 2: Convert to fraction form
    493,335.36/680,833.44 = 278,397/x
  3. Step 3: Cross multiply
    493,335.36x = 680,833.44 × 278,397
  4. Step 4: Simplify right side
    493,335.36x = 189,541,987,195.68
  5. Step 5: Solve for x
    x = 189,541,987,195.68/493,335.36
  6. Step 6: Final answer
    x = 384,205.15

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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.