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Finding the Fourth Proportional to 493,308.57, 680,765.82 and 266,954.07

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Solution

The fourth proportional to 493,308.57, 680,765.82 and 266,954.07 is: 368,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,308.57 : 680,765.82 = 266,954.07 : x
  2. Step 2: Convert to fraction form
    493,308.57/680,765.82 = 266,954.07/x
  3. Step 3: Cross multiply
    493,308.57x = 680,765.82 × 266,954.07
  4. Step 4: Simplify right side
    493,308.57x = 181,733,206,365.89
  5. Step 5: Solve for x
    x = 181,733,206,365.89/493,308.57
  6. Step 6: Final answer
    x = 368,396.61

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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.