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Finding the Fourth Proportional to 400,524.75, 552,724.16 and 221,676.75

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Solution

The fourth proportional to 400,524.75, 552,724.16 and 221,676.75 is: 305,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,524.75 : 552,724.16 = 221,676.75 : x
  2. Step 2: Convert to fraction form
    400,524.75/552,724.16 = 221,676.75/x
  3. Step 3: Cross multiply
    400,524.75x = 552,724.16 × 221,676.75
  4. Step 4: Simplify right side
    400,524.75x = 122,526,094,326.90
  5. Step 5: Solve for x
    x = 122,526,094,326.90/400,524.75
  6. Step 6: Final answer
    x = 305,913.92

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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.