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Finding the Fourth Proportional to 540,496.97, 745,874.82 and 298,789.73

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Solution

The fourth proportional to 540,496.97, 745,874.82 and 298,789.73 is: 412,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,496.97 : 745,874.82 = 298,789.73 : x
  2. Step 2: Convert to fraction form
    540,496.97/745,874.82 = 298,789.73/x
  3. Step 3: Cross multiply
    540,496.97x = 745,874.82 × 298,789.73
  4. Step 4: Simplify right side
    540,496.97x = 222,859,736,081.60
  5. Step 5: Solve for x
    x = 222,859,736,081.60/540,496.97
  6. Step 6: Final answer
    x = 412,323.75

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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.