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Finding the Fourth Proportional to 409,682, 565,361.16 and 221,266

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Solution

The fourth proportional to 409,682, 565,361.16 and 221,266 is: 305,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,682 : 565,361.16 = 221,266 : x
  2. Step 2: Convert to fraction form
    409,682/565,361.16 = 221,266/x
  3. Step 3: Cross multiply
    409,682x = 565,361.16 × 221,266
  4. Step 4: Simplify right side
    409,682x = 125,095,202,428.56
  5. Step 5: Solve for x
    x = 125,095,202,428.56/409,682
  6. Step 6: Final answer
    x = 305,347.08

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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.