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Finding the Fourth Proportional to 411,685, 568,125.30 and 223,269

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Solution

The fourth proportional to 411,685, 568,125.30 and 223,269 is: 308,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,685 : 568,125.30 = 223,269 : x
  2. Step 2: Convert to fraction form
    411,685/568,125.30 = 223,269/x
  3. Step 3: Cross multiply
    411,685x = 568,125.30 × 223,269
  4. Step 4: Simplify right side
    411,685x = 126,844,767,605.70
  5. Step 5: Solve for x
    x = 126,844,767,605.70/411,685
  6. Step 6: Final answer
    x = 308,111.22

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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.