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Finding the Fourth Proportional to 664,393.80, 995,402.70 and 404,257.80

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Solution

The fourth proportional to 664,393.80, 995,402.70 and 404,257.80 is: 605,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,393.80 : 995,402.70 = 404,257.80 : x
  2. Step 2: Convert to fraction form
    664,393.80/995,402.70 = 404,257.80/x
  3. Step 3: Cross multiply
    664,393.80x = 995,402.70 × 404,257.80
  4. Step 4: Simplify right side
    664,393.80x = 402,399,305,616.06
  5. Step 5: Solve for x
    x = 402,399,305,616.06/664,393.80
  6. Step 6: Final answer
    x = 605,663.85

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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.