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Finding the Fourth Proportional to 543,258.29, 814,891.52 and 206,208.08

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Solution

The fourth proportional to 543,258.29, 814,891.52 and 206,208.08 is: 309,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,258.29 : 814,891.52 = 206,208.08 : x
  2. Step 2: Convert to fraction form
    543,258.29/814,891.52 = 206,208.08/x
  3. Step 3: Cross multiply
    543,258.29x = 814,891.52 × 206,208.08
  4. Step 4: Simplify right side
    543,258.29x = 168,037,215,244.39
  5. Step 5: Solve for x
    x = 168,037,215,244.39/543,258.29
  6. Step 6: Final answer
    x = 309,313.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.