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Finding the Fourth Proportional to 700,723, 966,998.82 and 398,917

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Solution

The fourth proportional to 700,723, 966,998.82 and 398,917 is: 550,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,723 : 966,998.82 = 398,917 : x
  2. Step 2: Convert to fraction form
    700,723/966,998.82 = 398,917/x
  3. Step 3: Cross multiply
    700,723x = 966,998.82 × 398,917
  4. Step 4: Simplify right side
    700,723x = 385,752,268,277.94
  5. Step 5: Solve for x
    x = 385,752,268,277.94/700,723
  6. Step 6: Final answer
    x = 550,506.07

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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.