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Finding the Fourth Proportional to 493,310.82, 680,768.91 and 266,956.32

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Solution

The fourth proportional to 493,310.82, 680,768.91 and 266,956.32 is: 368,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,310.82 : 680,768.91 = 266,956.32 : x
  2. Step 2: Convert to fraction form
    493,310.82/680,768.91 = 266,956.32/x
  3. Step 3: Cross multiply
    493,310.82x = 680,768.91 × 266,956.32
  4. Step 4: Simplify right side
    493,310.82x = 181,735,562,984.01
  5. Step 5: Solve for x
    x = 181,735,562,984.01/493,310.82
  6. Step 6: Final answer
    x = 368,399.71

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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.