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Finding the Fourth Proportional to 428,674.09, 642,879.82 and 296,404.33

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Solution

The fourth proportional to 428,674.09, 642,879.82 and 296,404.33 is: 444,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,674.09 : 642,879.82 = 296,404.33 : x
  2. Step 2: Convert to fraction form
    428,674.09/642,879.82 = 296,404.33/x
  3. Step 3: Cross multiply
    428,674.09x = 642,879.82 × 296,404.33
  4. Step 4: Simplify right side
    428,674.09x = 190,552,362,317.62
  5. Step 5: Solve for x
    x = 190,552,362,317.62/428,674.09
  6. Step 6: Final answer
    x = 444,515.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.