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Finding the Fourth Proportional to 400,322.56, 552,380.16 and 221,440

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Solution

The fourth proportional to 400,322.56, 552,380.16 and 221,440 is: 305,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,322.56 : 552,380.16 = 221,440 : x
  2. Step 2: Convert to fraction form
    400,322.56/552,380.16 = 221,440/x
  3. Step 3: Cross multiply
    400,322.56x = 552,380.16 × 221,440
  4. Step 4: Simplify right side
    400,322.56x = 122,319,062,630.40
  5. Step 5: Solve for x
    x = 122,319,062,630.40/400,322.56
  6. Step 6: Final answer
    x = 305,551.26

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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.