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Finding the Fourth Proportional to 400,383, 552,530.16 and 221,535

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Solution

The fourth proportional to 400,383, 552,530.16 and 221,535 is: 305,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,383 : 552,530.16 = 221,535 : x
  2. Step 2: Convert to fraction form
    400,383/552,530.16 = 221,535/x
  3. Step 3: Cross multiply
    400,383x = 552,530.16 × 221,535
  4. Step 4: Simplify right side
    400,383x = 122,404,768,995.60
  5. Step 5: Solve for x
    x = 122,404,768,995.60/400,383
  6. Step 6: Final answer
    x = 305,719.20

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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.