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Finding the Fourth Proportional to 400,706, 552,991.56 and 221,858

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Solution

The fourth proportional to 400,706, 552,991.56 and 221,858 is: 306,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,706 : 552,991.56 = 221,858 : x
  2. Step 2: Convert to fraction form
    400,706/552,991.56 = 221,858/x
  3. Step 3: Cross multiply
    400,706x = 552,991.56 × 221,858
  4. Step 4: Simplify right side
    400,706x = 122,685,601,518.48
  5. Step 5: Solve for x
    x = 122,685,601,518.48/400,706
  6. Step 6: Final answer
    x = 306,173.61

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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.