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Finding the Fourth Proportional to 699,407,991.97, 965,267,667.25 and 398,066,574.42

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Solution

The fourth proportional to 699,407,991.97, 965,267,667.25 and 398,066,574.42 is: 549,380,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,407,991.97 : 965,267,667.25 = 398,066,574.42 : x
  2. Step 2: Convert to fraction form
    699,407,991.97/965,267,667.25 = 398,066,574.42/x
  3. Step 3: Cross multiply
    699,407,991.97x = 965,267,667.25 × 398,066,574.42
  4. Step 4: Simplify right side
    699,407,991.97x = 384,240,793,699,596,736
  5. Step 5: Solve for x
    x = 384,240,793,699,596,736/699,407,991.97
  6. Step 6: Final answer
    x = 549,380,044.43

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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.