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Finding the Fourth Proportional to 409,685, 565,365.30 and 221,269

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Solution

The fourth proportional to 409,685, 565,365.30 and 221,269 is: 305,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,685 : 565,365.30 = 221,269 : x
  2. Step 2: Convert to fraction form
    409,685/565,365.30 = 221,269/x
  3. Step 3: Cross multiply
    409,685x = 565,365.30 × 221,269
  4. Step 4: Simplify right side
    409,685x = 125,097,814,565.70
  5. Step 5: Solve for x
    x = 125,097,814,565.70/409,685
  6. Step 6: Final answer
    x = 305,351.22

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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.