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Finding the Fourth Proportional to 664,855.52, 994,767.96 and 407,770.16

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Solution

The fourth proportional to 664,855.52, 994,767.96 and 407,770.16 is: 610,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,855.52 : 994,767.96 = 407,770.16 : x
  2. Step 2: Convert to fraction form
    664,855.52/994,767.96 = 407,770.16/x
  3. Step 3: Cross multiply
    664,855.52x = 994,767.96 × 407,770.16
  4. Step 4: Simplify right side
    664,855.52x = 405,636,690,212.07
  5. Step 5: Solve for x
    x = 405,636,690,212.07/664,855.52
  6. Step 6: Final answer
    x = 610,112.54

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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.