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Finding the Fourth Proportional to 306,371.39, 422,495.66 and 204,401.00

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Solution

The fourth proportional to 306,371.39, 422,495.66 and 204,401.00 is: 281,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,371.39 : 422,495.66 = 204,401.00 : x
  2. Step 2: Convert to fraction form
    306,371.39/422,495.66 = 204,401.00/x
  3. Step 3: Cross multiply
    306,371.39x = 422,495.66 × 204,401.00
  4. Step 4: Simplify right side
    306,371.39x = 86,358,536,966.90
  5. Step 5: Solve for x
    x = 86,358,536,966.90/306,371.39
  6. Step 6: Final answer
    x = 281,875.34

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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.