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Finding the Fourth Proportional to 664,659.69, 997,314.89 and 411,872.60

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Solution

The fourth proportional to 664,659.69, 997,314.89 and 411,872.60 is: 618,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,659.69 : 997,314.89 = 411,872.60 : x
  2. Step 2: Convert to fraction form
    664,659.69/997,314.89 = 411,872.60/x
  3. Step 3: Cross multiply
    664,659.69x = 997,314.89 × 411,872.60
  4. Step 4: Simplify right side
    664,659.69x = 410,766,669,717.08
  5. Step 5: Solve for x
    x = 410,766,669,717.08/664,659.69
  6. Step 6: Final answer
    x = 618,010.50

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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.