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Finding the Fourth Proportional to 400,760, 553,048.80 and 221,912

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Solution

The fourth proportional to 400,760, 553,048.80 and 221,912 is: 306,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,760 : 553,048.80 = 221,912 : x
  2. Step 2: Convert to fraction form
    400,760/553,048.80 = 221,912/x
  3. Step 3: Cross multiply
    400,760x = 553,048.80 × 221,912
  4. Step 4: Simplify right side
    400,760x = 122,728,165,305.60
  5. Step 5: Solve for x
    x = 122,728,165,305.60/400,760
  6. Step 6: Final answer
    x = 306,238.56

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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.