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Finding the Fourth Proportional to 493,324.36, 680,818.26 and 278,386

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Solution

The fourth proportional to 493,324.36, 680,818.26 and 278,386 is: 384,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,324.36 : 680,818.26 = 278,386 : x
  2. Step 2: Convert to fraction form
    493,324.36/680,818.26 = 278,386/x
  3. Step 3: Cross multiply
    493,324.36x = 680,818.26 × 278,386
  4. Step 4: Simplify right side
    493,324.36x = 189,530,272,128.36
  5. Step 5: Solve for x
    x = 189,530,272,128.36/493,324.36
  6. Step 6: Final answer
    x = 384,189.97

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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.