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Finding the Fourth Proportional to 409,686, 565,366.68 and 221,270

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Solution

The fourth proportional to 409,686, 565,366.68 and 221,270 is: 305,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,686 : 565,366.68 = 221,270 : x
  2. Step 2: Convert to fraction form
    409,686/565,366.68 = 221,270/x
  3. Step 3: Cross multiply
    409,686x = 565,366.68 × 221,270
  4. Step 4: Simplify right side
    409,686x = 125,098,685,283.60
  5. Step 5: Solve for x
    x = 125,098,685,283.60/409,686
  6. Step 6: Final answer
    x = 305,352.60

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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.