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Finding the Fourth Proportional to 272,612.34, 409,287.26 and 188,162.54

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Solution

The fourth proportional to 272,612.34, 409,287.26 and 188,162.54 is: 282,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,612.34 : 409,287.26 = 188,162.54 : x
  2. Step 2: Convert to fraction form
    272,612.34/409,287.26 = 188,162.54/x
  3. Step 3: Cross multiply
    272,612.34x = 409,287.26 × 188,162.54
  4. Step 4: Simplify right side
    272,612.34x = 77,012,530,431.24
  5. Step 5: Solve for x
    x = 77,012,530,431.24/272,612.34
  6. Step 6: Final answer
    x = 282,498.33

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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.