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Finding the Fourth Proportional to 700,722, 966,997.44 and 398,916

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Solution

The fourth proportional to 700,722, 966,997.44 and 398,916 is: 550,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,722 : 966,997.44 = 398,916 : x
  2. Step 2: Convert to fraction form
    700,722/966,997.44 = 398,916/x
  3. Step 3: Cross multiply
    700,722x = 966,997.44 × 398,916
  4. Step 4: Simplify right side
    700,722x = 385,750,750,775.04
  5. Step 5: Solve for x
    x = 385,750,750,775.04/700,722
  6. Step 6: Final answer
    x = 550,504.69

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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.