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Finding the Fourth Proportional to 400,215.82, 552,311.01 and 218,923.60

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Solution

The fourth proportional to 400,215.82, 552,311.01 and 218,923.60 is: 302,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,215.82 : 552,311.01 = 218,923.60 : x
  2. Step 2: Convert to fraction form
    400,215.82/552,311.01 = 218,923.60/x
  3. Step 3: Cross multiply
    400,215.82x = 552,311.01 × 218,923.60
  4. Step 4: Simplify right side
    400,215.82x = 120,913,914,628.84
  5. Step 5: Solve for x
    x = 120,913,914,628.84/400,215.82
  6. Step 6: Final answer
    x = 302,121.78

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1.5x scale

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.