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Finding the Fourth Proportional to 306,838, 423,218.28 and 204,812

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Solution

The fourth proportional to 306,838, 423,218.28 and 204,812 is: 282,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,838 : 423,218.28 = 204,812 : x
  2. Step 2: Convert to fraction form
    306,838/423,218.28 = 204,812/x
  3. Step 3: Cross multiply
    306,838x = 423,218.28 × 204,812
  4. Step 4: Simplify right side
    306,838x = 86,680,182,363.36
  5. Step 5: Solve for x
    x = 86,680,182,363.36/306,838
  6. Step 6: Final answer
    x = 282,494.94

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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.