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Finding the Fourth Proportional to 493,221.62, 680,665.11 and 278,369.12

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Solution

The fourth proportional to 493,221.62, 680,665.11 and 278,369.12 is: 384,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221.62 : 680,665.11 = 278,369.12 : x
  2. Step 2: Convert to fraction form
    493,221.62/680,665.11 = 278,369.12/x
  3. Step 3: Cross multiply
    493,221.62x = 680,665.11 × 278,369.12
  4. Step 4: Simplify right side
    493,221.62x = 189,476,147,685.40
  5. Step 5: Solve for x
    x = 189,476,147,685.40/493,221.62
  6. Step 6: Final answer
    x = 384,160.26

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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.