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Finding the Fourth Proportional to 493,169.70, 680,610.15 and 278,328.54

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Solution

The fourth proportional to 493,169.70, 680,610.15 and 278,328.54 is: 384,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,169.70 : 680,610.15 = 278,328.54 : x
  2. Step 2: Convert to fraction form
    493,169.70/680,610.15 = 278,328.54/x
  3. Step 3: Cross multiply
    493,169.70x = 680,610.15 × 278,328.54
  4. Step 4: Simplify right side
    493,169.70x = 189,433,229,358.68
  5. Step 5: Solve for x
    x = 189,433,229,358.68/493,169.70
  6. Step 6: Final answer
    x = 384,113.68

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1.5x scale

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.